45523872000 has 432 divisors, whose sum is σ = 169125465600. Its totient is φ = 11745792000.

The previous prime is 45523871983. The next prime is 45523872001. The reversal of 45523872000 is 27832554.

45523872000 is a `hidden beast` number, since 4 + 552 + 3 + 87 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45523872001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8925451 + ... + 8930549.

Almost surely, 2^45523872000 is an apocalyptic number.

45523872000 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 45523872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84562732800).

45523872000 is an abundant number, since it is smaller than the sum of its proper divisors (123601593600).

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

45523872000 is a wasteful number, since it uses less digits than its factorization.

45523872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 45523872000 in words is "forty-five billion, five hundred twenty-three million, eight hundred seventy-two thousand".