45556902236160 has 1248 divisors, whose sum is σ = 192578372962560. Its totient is φ = 9729434714112.

The previous prime is 45556902236137. The next prime is 45556902236189. The reversal of 45556902236160 is 6163220965554.

45556902236160 is a `hidden beast` number, since 4 + 5 + 556 + 9 + 0 + 2 + 23 + 6 + 1 + 60 = 666.

45556902236160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45556902236097 and 45556902236106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1789550152 + ... + 1789575608.

It is an arithmetic number, because the mean of its divisors is an integer number (154309593720).

Almost surely, 2^{45556902236160} is an apocalyptic number.

45556902236160 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 45556902236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96289186481280).

45556902236160 is an abundant number, since it is smaller than the sum of its proper divisors (147021470726400).

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

45556902236160 is a wasteful number, since it uses less digits than its factorization.

45556902236160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25591 (or 25566 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 45556902236160 in words is "forty-five trillion, five hundred fifty-six billion, nine hundred two million, two hundred thirty-six thousand, one hundred sixty".