45801911424 has 256 divisors, whose sum is σ = 130156243200. Its totient is φ = 14245969920.

The previous prime is 45801911401. The next prime is 45801911437. The reversal of 45801911424 is 42411910854.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41904222 + ... + 41905314.

It is an arithmetic number, because the mean of its divisors is an integer number (508422825).

Almost surely, 2^45801911424 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 45801911424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65078121600).

45801911424 is an abundant number, since it is smaller than the sum of its proper divisors (84354331776).

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

45801911424 is a wasteful number, since it uses less digits than its factorization.

45801911424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 45801911424 in words is "forty-five billion, eight hundred one million, nine hundred eleven thousand, four hundred twenty-four".