45845737934976 has 1024 divisors, whose sum is σ = 161733758976000. Its totient is φ = 12509779968000.

The previous prime is 45845737934963. The next prime is 45845737934987. The reversal of 45845737934976 is 67943973754854.

45845737934976 is a `hidden beast` number, since 4 + 5 + 8 + 4 + 5 + 7 + 37 + 93 + 497 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45845737934895 and 45845737934904.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28707411810 + ... + 28707413406.

It is an arithmetic number, because the mean of its divisors is an integer number (157943124000).

Almost surely, 2^{45845737934976} 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 45845737934976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80866879488000).

45845737934976 is an abundant number, since it is smaller than the sum of its proper divisors (115888021041024).

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

45845737934976 is a wasteful number, since it uses less digits than its factorization.

45845737934976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2120 counting only the distinct ones).

The product of its digits is 19203609600, while the sum is 81.

The spelling of 45845737934976 in words is "forty-five trillion, eight hundred forty-five billion, seven hundred thirty-seven million, nine hundred thirty-four thousand, nine hundred seventy-six".