45567836160 has 864 divisors, whose sum is σ = 189346937472. Its totient is φ = 9248440320.

The previous prime is 45567836137. The next prime is 45567836177. The reversal of 45567836160 is 6163876554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1059717099 + ... + 1059717141.

It is an arithmetic number, because the mean of its divisors is an integer number (219151548).

Almost surely, 2^45567836160 is an apocalyptic number.

45567836160 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 45567836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94673468736).

45567836160 is an abundant number, since it is smaller than the sum of its proper divisors (143779101312).

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

45567836160 is an equidigital number, since it uses as much as digits as its factorization.

45567836160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 45567836160 in words is "forty-five billion, five hundred sixty-seven million, eight hundred thirty-six thousand, one hundred sixty".