45931345920 has 768 divisors, whose sum is σ = 176620953600. Its totient is φ = 11289231360.

The previous prime is 45931345879. The next prime is 45931345939. The reversal of 45931345920 is 2954313954.

45931345920 is a `hidden beast` number, since 4 + 59 + 3 + 1 + 3 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 197130124 + ... + 197130356.

It is an arithmetic number, because the mean of its divisors is an integer number (229975200).

Almost surely, 2^45931345920 is an apocalyptic number.

45931345920 is a gapful number since it is divisible by the number (40) 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 45931345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88310476800).

45931345920 is an abundant number, since it is smaller than the sum of its proper divisors (130689607680).

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

45931345920 is a wasteful number, since it uses less digits than its factorization.

45931345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 45931345920 in words is "forty-five billion, nine hundred thirty-one million, three hundred forty-five thousand, nine hundred twenty".