16121564564 has 48 divisors (see below), whose sum is σ = 32947998720. Its totient is φ = 6758367840.

The previous prime is 16121564533. The next prime is 16121564579. The reversal of 16121564564 is 46546512161.

16121564564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4365959 + ... + 4369649.

It is an arithmetic number, because the mean of its divisors is an integer number (686416640).

Almost surely, 2^16121564564 is an apocalyptic number.

16121564564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16121564564 is an abundant number, since it is smaller than the sum of its proper divisors (16826434156).

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

16121564564 is a wasteful number, since it uses less digits than its factorization.

16121564564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7066 counting only the distinct ones).

The product of its digits is 172800, while the sum is 41.

The spelling of 16121564564 in words is "sixteen billion, one hundred twenty-one million, five hundred sixty-four thousand, five hundred sixty-four".