468889988864 has 72 divisors (see below), whose sum is σ = 1030070995632. Its totient is φ = 211245547520.

The previous prime is 468889988863. The next prime is 468889988951.

468889988864 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468889988863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418559 + ... + 1054974.

It is an arithmetic number, because the mean of its divisors is an integer number (14306541606).

Almost surely, 2^468889988864 is an apocalyptic number.

468889988864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

468889988864 is an abundant number, since it is smaller than the sum of its proper divisors (561181006768).

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

468889988864 is a wasteful number, since it uses less digits than its factorization.

468889988864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473673 (or 1473659 counting only the distinct ones).

The product of its digits is 12230590464, while the sum is 86.

The spelling of 468889988864 in words is "four hundred sixty-eight billion, eight hundred eighty-nine million, nine hundred eighty-eight thousand, eight hundred sixty-four".