45504072000 has 448 divisors, whose sum is σ = 167752166400. Its totient is φ = 12076185600.

The previous prime is 45504071981. The next prime is 45504072013. The reversal of 45504072000 is 27040554.

45504072000 is a `hidden beast` number, since 4 + 5 + 50 + 407 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 63287641 + ... + 63288359.

It is an arithmetic number, because the mean of its divisors is an integer number (374446800).

Almost surely, 2^45504072000 is an apocalyptic number.

45504072000 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 45504072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83876083200).

45504072000 is an abundant number, since it is smaller than the sum of its proper divisors (122248094400).

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

45504072000 is a wasteful number, since it uses less digits than its factorization.

45504072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The spelling of 45504072000 in words is "forty-five billion, five hundred four million, seventy-two thousand".