48564355346584 has 64 divisors (see below), whose sum is σ = 114420978524160. Its totient is φ = 18772191728640.

The previous prime is 48564355346477. The next prime is 48564355346621.

48564355346584 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×48564355346584² (a number of 28 digits) contains 22 as substring.

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, 310308537 + ... + 310465000.

It is an arithmetic number, because the mean of its divisors is an integer number (1787827789440).

Almost surely, 2^{48564355346584} is an apocalyptic number.

48564355346584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48564355346584 is an abundant number, since it is smaller than the sum of its proper divisors (65856623177576).

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

48564355346584 is a wasteful number, since it uses less digits than its factorization.

48564355346584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620773688 (or 620773684 counting only the distinct ones).

The product of its digits is 3317760000, while the sum is 70.

The spelling of 48564355346584 in words is "forty-eight trillion, five hundred sixty-four billion, three hundred fifty-five million, three hundred forty-six thousand, five hundred eighty-four".