45036518400 has 660 divisors, whose sum is σ = 171563868168. Its totient is φ = 11665244160.

The previous prime is 45036518389. The next prime is 45036518411. The reversal of 45036518400 is 481563054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45036518389) and next prime (45036518411).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 76722907 + ... + 76723493.

Almost surely, 2^45036518400 is an apocalyptic number.

45036518400 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 45036518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85781934084).

45036518400 is an abundant number, since it is smaller than the sum of its proper divisors (126527349768).

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

45036518400 is a wasteful number, since it uses less digits than its factorization.

45036518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 45036518400 in words is "forty-five billion, thirty-six million, five hundred eighteen thousand, four hundred".