45552552552100 has 576 divisors, whose sum is σ = 119524749926400. Its totient is φ = 14924606400000.

The previous prime is 45552552552071. The next prime is 45552552552179. The reversal of 45552552552100 is 125525525554.

45552552552100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13799620450 + ... + 13799623750.

It is an arithmetic number, because the mean of its divisors is an integer number (207508246400).

Almost surely, 2^{45552552552100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45552552552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59762374963200).

45552552552100 is an abundant number, since it is smaller than the sum of its proper divisors (73972197374300).

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

45552552552100 is a wasteful number, since it uses less digits than its factorization.

45552552552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 2500000, while the sum is 46.

The spelling of 45552552552100 in words is "forty-five trillion, five hundred fifty-two billion, five hundred fifty-two million, five hundred fifty-two thousand, one hundred".