45511636320 has 384 divisors, whose sum is σ = 168129561600. Its totient is φ = 11466510336.

The previous prime is 45511636297. The next prime is 45511636333. The reversal of 45511636320 is 2363611554.

45511636320 is a `hidden beast` number, since 4 + 5 + 5 + 1 + 16 + 3 + 632 + 0 = 666.

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

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, 53105332 + ... + 53106188.

It is an arithmetic number, because the mean of its divisors is an integer number (437837400).

Almost surely, 2^45511636320 is an apocalyptic number.

45511636320 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 45511636320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84064780800).

45511636320 is an abundant number, since it is smaller than the sum of its proper divisors (122617925280).

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

45511636320 is a wasteful number, since it uses less digits than its factorization.

45511636320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 45511636320 in words is "forty-five billion, five hundred eleven million, six hundred thirty-six thousand, three hundred twenty".