468493394864 has 160 divisors (see below), whose sum is σ = 1065970202112. Its totient is φ = 197107200000.

The previous prime is 468493394857. The next prime is 468493394891.

468493394864 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×468493394864² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 468493394794 and 468493394803.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45625859 + ... + 45636125.

Almost surely, 2^468493394864 is an apocalyptic number.

468493394864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468493394864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532985101056).

468493394864 is an abundant number, since it is smaller than the sum of its proper divisors (597476807248).

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

468493394864 is a wasteful number, since it uses less digits than its factorization.

468493394864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10555 (or 10549 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 68.

The spelling of 468493394864 in words is "four hundred sixty-eight billion, four hundred ninety-three million, three hundred ninety-four thousand, eight hundred sixty-four".