45304653600 has 432 divisors, whose sum is σ = 165222675072. Its totient is φ = 11674490880.

The previous prime is 45304653587. The next prime is 45304653631. The reversal of 45304653600 is 635640354.

45304653600 is a `hidden beast` number, since 4 + 5 + 3 + 0 + 46 + 5 + 3 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28086394 + ... + 28088006.

It is an arithmetic number, because the mean of its divisors is an integer number (382459896).

Almost surely, 2^45304653600 is an apocalyptic number.

45304653600 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 45304653600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82611337536).

45304653600 is an abundant number, since it is smaller than the sum of its proper divisors (119918021472).

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

45304653600 is a wasteful number, since it uses less digits than its factorization.

45304653600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1753 counting only the distinct ones).

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

The spelling of 45304653600 in words is "forty-five billion, three hundred four million, six hundred fifty-three thousand, six hundred".