45304365600 has 432 divisors, whose sum is σ = 173348170632. Its totient is φ = 11067310080.

The previous prime is 45304365583. The next prime is 45304365653. The reversal of 45304365600 is 656340354.

45304365600 is a `hidden beast` number, since 4 + 5 + 3 + 0 + 43 + 6 + 5 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3261323664 + 42043041936 = 57108^2 + 205044^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12821434 + ... + 12824966.

Almost surely, 2^45304365600 is an apocalyptic number.

45304365600 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 45304365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86674085316).

45304365600 is an abundant number, since it is smaller than the sum of its proper divisors (128043805032).

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

45304365600 is a wasteful number, since it uses less digits than its factorization.

45304365600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 45304365600 in words is "forty-five billion, three hundred four million, three hundred sixty-five thousand, six hundred".