462868121868264 has 96 divisors (see below), whose sum is σ = 1438261702038720. Its totient is φ = 131733450989568.

The previous prime is 462868121868233. The next prime is 462868121868343.

It is a happy number.

462868121868264 is a `hidden beast` number, since 4 + 6 + 286 + 8 + 1 + 2 + 1 + 86 + 8 + 264 = 666.

462868121868264 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 462868121868192 and 462868121868201.

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, 1786619754 + ... + 1786878809.

It is an arithmetic number, because the mean of its divisors is an integer number (14981892729570).

Almost surely, 2^{462868121868264} is an apocalyptic number.

It is an amenable number.

462868121868264 is an abundant number, since it is smaller than the sum of its proper divisors (975393580170456).

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

462868121868264 is a wasteful number, since it uses less digits than its factorization.

462868121868264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573498839 (or 3573498832 counting only the distinct ones).

The product of its digits is 679477248, while the sum is 72.

The spelling of 462868121868264 in words is "four hundred sixty-two trillion, eight hundred sixty-eight billion, one hundred twenty-one million, eight hundred sixty-eight thousand, two hundred sixty-four".