45947645968 has 240 divisors, whose sum is σ = 113553017856. Its totient is φ = 17562746880.

The previous prime is 45947645941. The next prime is 45947645969. The reversal of 45947645968 is 86954674954.

It is a super-2 number, since 2×45947645968² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45947645969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406616280 + ... + 406616392.

Almost surely, 2^45947645968 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 45947645968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56776508928).

45947645968 is an abundant number, since it is smaller than the sum of its proper divisors (67605371888).

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

45947645968 is a wasteful number, since it uses less digits than its factorization.

45947645968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 253 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 67.

The spelling of 45947645968 in words is "forty-five billion, nine hundred forty-seven million, six hundred forty-five thousand, nine hundred sixty-eight".