45940608896 has 512 divisors, whose sum is σ = 124942003200. Its totient is φ = 16323379200.

The previous prime is 45940608863. The next prime is 45940608907. The reversal of 45940608896 is 69880604954.

It is a super-2 number, since 2×45940608896² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 553501271 + ... + 553501353.

It is an arithmetic number, because the mean of its divisors is an integer number (244027350).

Almost surely, 2^45940608896 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 45940608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62471001600).

45940608896 is an abundant number, since it is smaller than the sum of its proper divisors (79001394304).

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

45940608896 is a wasteful number, since it uses less digits than its factorization.

45940608896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 59.

The spelling of 45940608896 in words is "forty-five billion, nine hundred forty million, six hundred eight thousand, eight hundred ninety-six".