468385637856300 has 144 divisors (see below), whose sum is σ = 1523914932785280. Its totient is φ = 123397983247680.

The previous prime is 468385637856263. The next prime is 468385637856319. The reversal of 468385637856300 is 3658736583864.

468385637856300 is a `hidden beast` number, since 4 + 6 + 8 + 3 + 8 + 56 + 3 + 7 + 8 + 563 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044813022 + ... + 1045261221.

Almost surely, 2^{468385637856300} is an apocalyptic number.

It is an amenable number.

468385637856300 is an abundant number, since it is smaller than the sum of its proper divisors (1055529294928980).

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

468385637856300 is a wasteful number, since it uses less digits than its factorization.

468385637856300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090074349 (or 2090074336 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 72.

The spelling of 468385637856300 in words is "four hundred sixty-eight trillion, three hundred eighty-five billion, six hundred thirty-seven million, eight hundred fifty-six thousand, three hundred".