45881975520 has 144 divisors (see below), whose sum is σ = 156839194512. Its totient is φ = 12214333440.

The previous prime is 45881975507. The next prime is 45881975521. The reversal of 45881975520 is 2557918854.

45881975520 is a `hidden beast` number, since 4 + 5 + 8 + 81 + 9 + 7 + 552 + 0 = 666.

45881975520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45881975521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827055 + ... + 880785.

It is an arithmetic number, because the mean of its divisors is an integer number (1089161073).

Almost surely, 2^45881975520 is an apocalyptic number.

45881975520 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 45881975520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78419597256).

45881975520 is an abundant number, since it is smaller than the sum of its proper divisors (110957218992).

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

45881975520 is a wasteful number, since it uses less digits than its factorization.

45881975520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54345 (or 54334 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 45881975520 in words is "forty-five billion, eight hundred eighty-one million, nine hundred seventy-five thousand, five hundred twenty".