34016514564 has 24 divisors (see below), whose sum is σ = 79392585888. Its totient is φ = 11335878400.

The previous prime is 34016514559. The next prime is 34016514619. The reversal of 34016514564 is 46541561043.

It is a super-2 number, since 2×34016514564² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321837 + ... + 414260.

It is an arithmetic number, because the mean of its divisors is an integer number (3308024412).

Almost surely, 2^34016514564 is an apocalyptic number.

It is an amenable number.

34016514564 is an abundant number, since it is smaller than the sum of its proper divisors (45376071324).

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

34016514564 is a wasteful number, since it uses less digits than its factorization.

34016514564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739955 (or 739953 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 34016514564 in words is "thirty-four billion, sixteen million, five hundred fourteen thousand, five hundred sixty-four".