45947768832 has 624 divisors, whose sum is σ = 162103166400. Its totient is φ = 12819824640.

The previous prime is 45947768819. The next prime is 45947768873. The reversal of 45947768832 is 23886774954.

45947768832 is a `hidden beast` number, since 4 + 59 + 477 + 6 + 88 + 32 = 666.

It is a super-2 number, since 2×45947768832² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 45947768832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330559419 + ... + 330559557.

Almost surely, 2^45947768832 is an apocalyptic number.

45947768832 is a gapful number since it is divisible by the number (42) 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 45947768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81051583200).

45947768832 is an abundant number, since it is smaller than the sum of its proper divisors (116155397568).

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

45947768832 is a wasteful number, since it uses less digits than its factorization.

45947768832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 212 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 45947768832 in words is "forty-five billion, nine hundred forty-seven million, seven hundred sixty-eight thousand, eight hundred thirty-two".