45201158332000 has 432 divisors, whose sum is σ = 124423857806976. Its totient is φ = 16126171776000.

The previous prime is 45201158331977. The next prime is 45201158332019. The reversal of 45201158332000 is 23385110254.

45201158332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1359539377 + ... + 1359572623.

It is an arithmetic number, because the mean of its divisors is an integer number (288018189368).

Almost surely, 2^{45201158332000} is an apocalyptic number.

45201158332000 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 45201158332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62211928903488).

45201158332000 is an abundant number, since it is smaller than the sum of its proper divisors (79222699474976).

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

45201158332000 is a wasteful number, since it uses less digits than its factorization.

45201158332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33400 (or 33318 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 45201158332000 in words is "forty-five trillion, two hundred one billion, one hundred fifty-eight million, three hundred thirty-two thousand".