45465375336192 has 432 divisors, whose sum is σ = 153364723832320. Its totient is φ = 12682554974208.

The previous prime is 45465375336187. The next prime is 45465375336209. The reversal of 45465375336192 is 29163357356454.

45465375336192 is a `hidden beast` number, since 4 + 5 + 4 + 6 + 5 + 3 + 7 + 5 + 3 + 3 + 619 + 2 = 666.

45465375336192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1773276909 + ... + 1773302547.

Almost surely, 2^{45465375336192} is an apocalyptic number.

45465375336192 is a gapful number since it is divisible by the number (42) 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 45465375336192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76682361916160).

45465375336192 is an abundant number, since it is smaller than the sum of its proper divisors (107899348496128).

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

45465375336192 is a wasteful number, since it uses less digits than its factorization.

45465375336192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28268 (or 28251 counting only the distinct ones).

The product of its digits is 244944000, while the sum is 63.

The spelling of 45465375336192 in words is "forty-five trillion, four hundred sixty-five billion, three hundred seventy-five million, three hundred thirty-six thousand, one hundred ninety-two".