45918566400 has 432 divisors, whose sum is σ = 176612992920. Its totient is φ = 10493952000.

The previous prime is 45918566399. The next prime is 45918566401. The reversal of 45918566400 is 466581954.

It is an interprime number because it is at equal distance from previous prime (45918566399) and next prime (45918566401).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45918566400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45918566401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7523350 + ... + 7529450.

Almost surely, 2^45918566400 is an apocalyptic number.

45918566400 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 45918566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88306496460).

45918566400 is an abundant number, since it is smaller than the sum of its proper divisors (130694426520).

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

45918566400 is a wasteful number, since it uses less digits than its factorization.

45918566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 45918566400 in words is "forty-five billion, nine hundred eighteen million, five hundred sixty-six thousand, four hundred".