45695215908000 has 1344 divisors, whose sum is σ = 170462713075200. Its totient is φ = 12032433100800.

The previous prime is 45695215907993. The next prime is 45695215908007. The reversal of 45695215908000 is 80951259654.

45695215908000 is a `hidden beast` number, since 4 + 5 + 69 + 521 + 59 + 0 + 8 + 0 + 0 + 0 = 666.

45695215908000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45695215907993) and next prime (45695215908007).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45695215908007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 120567851811 + ... + 120567852189.

It is an arithmetic number, because the mean of its divisors is an integer number (126832375800).

Almost surely, 2^{45695215908000} is an apocalyptic number.

45695215908000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45695215908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85231356537600).

45695215908000 is an abundant number, since it is smaller than the sum of its proper divisors (124767497167200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45695215908000 is a wasteful number, since it uses less digits than its factorization.

45695215908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 45695215908000 in words is "forty-five trillion, six hundred ninety-five billion, two hundred fifteen million, nine hundred eight thousand".