468723363327864 has 48 divisors (see below), whose sum is σ = 1271682329980920. Its totient is φ = 155967493913280.

The previous prime is 468723363327859. The next prime is 468723363327893.

468723363327864 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 233 + 6 + 3 + 327 + 8 + 64 = 666.

468723363327864 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 junction number, because it is equal to n+sod(n) for n = 468723363327792 and 468723363327801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5700525187 + ... + 5700607410.

Almost surely, 2^{468723363327864} is an apocalyptic number.

It is an amenable number.

468723363327864 is an abundant number, since it is smaller than the sum of its proper divisors (802958966653056).

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

468723363327864 is a wasteful number, since it uses less digits than its factorization.

468723363327864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11401133180 (or 11401133173 counting only the distinct ones).

The product of its digits is 3511517184, while the sum is 72.

The spelling of 468723363327864 in words is "four hundred sixty-eight trillion, seven hundred twenty-three billion, three hundred sixty-three million, three hundred twenty-seven thousand, eight hundred sixty-four".