45604348800 has 192 divisors, whose sum is σ = 151360133760. Its totient is φ = 12067993600.

The previous prime is 45604348799. The next prime is 45604348819. The reversal of 45604348800 is 884340654.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×45604348800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1239469 + ... + 1275731.

It is an arithmetic number, because the mean of its divisors is an integer number (788334030).

Almost surely, 2^45604348800 is an apocalyptic number.

45604348800 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 45604348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75680066880).

45604348800 is an abundant number, since it is smaller than the sum of its proper divisors (105755784960).

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

45604348800 is a wasteful number, since it uses less digits than its factorization.

45604348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36421 (or 36404 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 45604348800 in words is "forty-five billion, six hundred four million, three hundred forty-eight thousand, eight hundred".