468822601800 has 216 divisors, whose sum is σ = 1831518029250. Its totient is φ = 107159431680.

The previous prime is 468822601769. The next prime is 468822601829. The reversal of 468822601800 is 8106228864.

468822601800 is a `hidden beast` number, since 468 + 8 + 2 + 2 + 6 + 0 + 180 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 440978339844 + 27844261956 = 664062^2 + 166866^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2569525 + ... + 2745924.

Almost surely, 2^468822601800 is an apocalyptic number.

468822601800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468822601800 is an abundant number, since it is smaller than the sum of its proper divisors (1362695427450).

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

468822601800 is a wasteful number, since it uses less digits than its factorization.

468822601800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315485 (or 5315466 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 468822601800 in words is "four hundred sixty-eight billion, eight hundred twenty-two million, six hundred one thousand, eight hundred".