464412214464 has 112 divisors (see below), whose sum is σ = 1376691476736. Its totient is φ = 136927411200.

The previous prime is 464412214459. The next prime is 464412214529.

464412214464 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2893372 + ... + 3049659.

Almost surely, 2^464412214464 is an apocalyptic number.

464412214464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464412214464 is an abundant number, since it is smaller than the sum of its proper divisors (912279262272).

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

464412214464 is a wasteful number, since it uses less digits than its factorization.

464412214464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5943094 (or 5943084 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 464412 and 214464, that added together give a palindrome (678876).

The spelling of 464412214464 in words is "four hundred sixty-four billion, four hundred twelve million, two hundred fourteen thousand, four hundred sixty-four".