464213101312464 has 80 divisors (see below), whose sum is σ = 1407575375445888. Its totient is φ = 129047657504256.

The previous prime is 464213101312417. The next prime is 464213101312481.

464213101312464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 18670076907 + ... + 18670101770.

Almost surely, 2^{464213101312464} is an apocalyptic number.

It is an amenable number.

464213101312464 is an abundant number, since it is smaller than the sum of its proper divisors (943362274133424).

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

464213101312464 is a wasteful number, since it uses less digits than its factorization.

464213101312464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37340178732 (or 37340178726 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

It can be divided in two parts, 46421310 and 1312464, that added together give a palindrome (47733774).

The spelling of 464213101312464 in words is "four hundred sixty-four trillion, two hundred thirteen billion, one hundred one million, three hundred twelve thousand, four hundred sixty-four".