45681919920 has 1920 divisors, whose sum is σ = 218386022400. Its totient is φ = 8778792960.

The previous prime is 45681919879. The next prime is 45681919973. The reversal of 45681919920 is 2991918654.

45681919920 is a `hidden beast` number, since 456 + 81 + 9 + 1 + 99 + 20 = 666.

45681919920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1473610305 + ... + 1473610335.

It is an arithmetic number, because the mean of its divisors is an integer number (113742720).

Almost surely, 2^45681919920 is an apocalyptic number.

45681919920 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 45681919920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109193011200).

45681919920 is an abundant number, since it is smaller than the sum of its proper divisors (172704102480).

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

45681919920 is a wasteful number, since it uses less digits than its factorization.

45681919920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 45681919920 in words is "forty-five billion, six hundred eighty-one million, nine hundred nineteen thousand, nine hundred twenty".