468463662432 has 96 divisors (see below), whose sum is σ = 1366476048000. Its totient is φ = 156140417664.

The previous prime is 468463662409. The next prime is 468463662451. The reversal of 468463662432 is 234266364864.

468463662432 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 6 + 3 + 6 + 624 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14487819 + ... + 14520117.

It is an arithmetic number, because the mean of its divisors is an integer number (14234125500).

Almost surely, 2^468463662432 is an apocalyptic number.

It is an amenable number.

468463662432 is an abundant number, since it is smaller than the sum of its proper divisors (898012385568).

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

468463662432 is a wasteful number, since it uses less digits than its factorization.

468463662432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49105 (or 49091 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 54.

The spelling of 468463662432 in words is "four hundred sixty-eight billion, four hundred sixty-three million, six hundred sixty-two thousand, four hundred thirty-two".