468878303878864 has 30 divisors (see below), whose sum is σ = 998546098605650. Its totient is φ = 213126501762240.

The previous prime is 468878303878849. The next prime is 468878303878883.

468878303878864 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 457924904672400 + 10953399206464 = 21399180^2 + 3309592^2 .

It is a Harshad number since it is a multiple of its sum of digits (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 121094601339 + ... + 121094605210.

Almost surely, 2^{468878303878864} is an apocalyptic number.

468878303878864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

468878303878864 is an abundant number, since it is smaller than the sum of its proper divisors (529667794726786).

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

468878303878864 is a wasteful number, since it uses less digits than its factorization.

468878303878864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242189206579 (or 242189206562 counting only the distinct ones).

The product of its (nonzero) digits is 66588770304, while the sum is 88.

The spelling of 468878303878864 in words is "four hundred sixty-eight trillion, eight hundred seventy-eight billion, three hundred three million, eight hundred seventy-eight thousand, eight hundred sixty-four".