45101170656 has 240 divisors, whose sum is σ = 140741314560. Its totient is φ = 14128369920.

The previous prime is 45101170651. The next prime is 45101170669. The reversal of 45101170656 is 65607110154.

It is a happy number.

45101170656 is a `hidden beast` number, since 4 + 510 + 11 + 70 + 65 + 6 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45101170656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45101170651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6250891 + ... + 6258101.

It is an arithmetic number, because the mean of its divisors is an integer number (586422144).

Almost surely, 2^45101170656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45101170656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70370657280).

45101170656 is an abundant number, since it is smaller than the sum of its proper divisors (95640143904).

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

45101170656 is a wasteful number, since it uses less digits than its factorization.

45101170656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7379 (or 7362 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 45101170656 in words is "forty-five billion, one hundred one million, one hundred seventy thousand, six hundred fifty-six".