464463364464 has 80 divisors (see below), whose sum is σ = 1454380247040. Its totient is φ = 140746472640.

The previous prime is 464463364451. The next prime is 464463364483.

464463364464 is a `hidden beast` number, since 4 + 64 + 4 + 63 + 3 + 64 + 464 = 666.

464463364464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 464463364464.

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, 48865552 + ... + 48875055.

It is an arithmetic number, because the mean of its divisors is an integer number (18179753088).

Almost surely, 2^464463364464 is an apocalyptic number.

464463364464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464463364464 is an abundant number, since it is smaller than the sum of its proper divisors (989916882576).

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

464463364464 is a wasteful number, since it uses less digits than its factorization.

464463364464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97740635 (or 97740623 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 464463364464 in words is "four hundred sixty-four billion, four hundred sixty-three million, three hundred sixty-four thousand, four hundred sixty-four".