45817458336000 has 1728 divisors, whose sum is σ = 188789235800256. Its totient is φ = 10569646080000.

The previous prime is 45817458335959. The next prime is 45817458336007. The reversal of 45817458336000 is 63385471854.

45817458336000 is a `hidden beast` number, since 4 + 58 + 1 + 7 + 4 + 583 + 3 + 6 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 36504023924736 + 9313434411264 = 6041856^2 + 3051792^2 .

It is not an unprimeable number, because it can be changed into a prime (45817458336007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16357534600 + ... + 16357537400.

It is an arithmetic number, because the mean of its divisors is an integer number (109253029977).

Almost surely, 2^{45817458336000} is an apocalyptic number.

45817458336000 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 45817458336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94394617900128).

45817458336000 is an abundant number, since it is smaller than the sum of its proper divisors (142971777464256).

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

45817458336000 is a wasteful number, since it uses less digits than its factorization.

45817458336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 45817458336000 in words is "forty-five trillion, eight hundred seventeen billion, four hundred fifty-eight million, three hundred thirty-six thousand".