45960070464 has 896 divisors, whose sum is σ = 178959052800. Its totient is φ = 11217346560.

The previous prime is 45960070441. The next prime is 45960070529. The reversal of 45960070464 is 46407006954.

It is a super-2 number, since 2×45960070464² (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 127 ways as a sum of consecutive naturals, for example, 165920694 + ... + 165920970.

Almost surely, 2^45960070464 is an apocalyptic number.

45960070464 is a gapful number since it is divisible by the number (44) 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 45960070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89479526400).

45960070464 is an abundant number, since it is smaller than the sum of its proper divisors (132998982336).

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

45960070464 is a wasteful number, since it uses less digits than its factorization.

45960070464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 45960070464 in words is "forty-five billion, nine hundred sixty million, seventy thousand, four hundred sixty-four".