468211112864 has 48 divisors (see below), whose sum is σ = 1005976008576. Its totient is φ = 212741491200.

The previous prime is 468211112857. The next prime is 468211112867.

468211112864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (468211112867) 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, 667049 + ... + 1175319.

It is an arithmetic number, because the mean of its divisors is an integer number (20957833512).

Almost surely, 2^468211112864 is an apocalyptic number.

468211112864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

468211112864 is an abundant number, since it is smaller than the sum of its proper divisors (537764895712).

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

468211112864 is a wasteful number, since it uses less digits than its factorization.

468211112864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510909 (or 510901 counting only the distinct ones).

The product of its digits is 147456, while the sum is 44.

The spelling of 468211112864 in words is "four hundred sixty-eight billion, two hundred eleven million, one hundred twelve thousand, eight hundred sixty-four".