45972888640 has 56 divisors (see below), whose sum is σ = 125111938752. Its totient is φ = 15762132480.

The previous prime is 45972888631. The next prime is 45972888641. The reversal of 45972888640 is 4688827954.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×45972888640² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45972888641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10259566 + ... + 10264045.

Almost surely, 2^45972888640 is an apocalyptic number.

45972888640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45972888640 is an abundant number, since it is smaller than the sum of its proper divisors (79139050112).

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

45972888640 is a wasteful number, since it uses less digits than its factorization.

45972888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20523635 (or 20523625 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 61.

The spelling of 45972888640 in words is "forty-five billion, nine hundred seventy-two million, eight hundred eighty-eight thousand, six hundred forty".