463658404856364 has 72 divisors (see below), whose sum is σ = 1212444202788000. Its totient is φ = 149222887451904.

The previous prime is 463658404856303. The next prime is 463658404856417.

It is a happy number.

463658404856364 is a `hidden beast` number, since 4 + 6 + 3 + 6 + 5 + 84 + 0 + 485 + 6 + 3 + 64 = 666.

463658404856364 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 463658404856292 and 463658404856301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417472417 + ... + 418581575.

It is an arithmetic number, because the mean of its divisors is an integer number (16839502816500).

Almost surely, 2^{463658404856364} is an apocalyptic number.

It is an amenable number.

463658404856364 is an abundant number, since it is smaller than the sum of its proper divisors (748785797931636).

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

463658404856364 is a wasteful number, since it uses less digits than its factorization.

463658404856364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509607 (or 1509602 counting only the distinct ones).

The product of its (nonzero) digits is 4777574400, while the sum is 72.

The spelling of 463658404856364 in words is "four hundred sixty-three trillion, six hundred fifty-eight billion, four hundred four million, eight hundred fifty-six thousand, three hundred sixty-four".