45320294916000 has 576 divisors, whose sum is σ = 173379018758400. Its totient is φ = 11145147955200.

The previous prime is 45320294915999. The next prime is 45320294916047. The reversal of 45320294916000 is 61949202354.

45320294916000 is a `hidden beast` number, since 4 + 5 + 32 + 0 + 2 + 9 + 4 + 9 + 1 + 600 + 0 = 666.

45320294916000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 497438451 + ... + 497529549.

It is an arithmetic number, because the mean of its divisors is an integer number (301005240900).

Almost surely, 2^{45320294916000} is an apocalyptic number.

45320294916000 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 45320294916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86689509379200).

45320294916000 is an abundant number, since it is smaller than the sum of its proper divisors (128058723842400).

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

45320294916000 is a wasteful number, since it uses less digits than its factorization.

45320294916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92206 (or 92185 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 45320294916000 in words is "forty-five trillion, three hundred twenty billion, two hundred ninety-four million, nine hundred sixteen thousand".