468409195656 has 80 divisors (see below), whose sum is σ = 1336733887500. Its totient is φ = 153190417536.

The previous prime is 468409195619. The next prime is 468409195679. The reversal of 468409195656 is 656591904864.

468409195656 is a `hidden beast` number, since 4 + 68 + 4 + 0 + 9 + 1 + 9 + 565 + 6 = 666.

468409195656 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 454774896900 + 13634298756 = 674370^2 + 116766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 468409195593 and 468409195602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6785031 + ... + 6853718.

Almost surely, 2^468409195656 is an apocalyptic number.

It is an amenable number.

468409195656 is an abundant number, since it is smaller than the sum of its proper divisors (868324691844).

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

468409195656 is a wasteful number, since it uses less digits than its factorization.

468409195656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13638820 (or 13638807 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 468409195656 in words is "four hundred sixty-eight billion, four hundred nine million, one hundred ninety-five thousand, six hundred fifty-six".