468456654864 has 80 divisors (see below), whose sum is σ = 1355877057600. Its totient is φ = 138119892480.

The previous prime is 468456654863. The next prime is 468456654929.

It is a happy number.

468456654864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 468456654795 and 468456654804.

It is not an unprimeable number, because it can be changed into a prime (468456654863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11970039 + ... + 12009110.

It is an arithmetic number, because the mean of its divisors is an integer number (16948463220).

Almost surely, 2^468456654864 is an apocalyptic number.

468456654864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

468456654864 is an abundant number, since it is smaller than the sum of its proper divisors (887420402736).

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

468456654864 is a wasteful number, since it uses less digits than its factorization.

468456654864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23979208 (or 23979202 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 66.

The spelling of 468456654864 in words is "four hundred sixty-eight billion, four hundred fifty-six million, six hundred fifty-four thousand, eight hundred sixty-four".