16944400564 has 192 divisors, whose sum is σ = 41184460800. Its totient is φ = 5908142592.

The previous prime is 16944400553. The next prime is 16944400607. The reversal of 16944400564 is 46500444961.

It is a super-2 number, since 2×16944400564² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16944400564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5884077 + ... + 5886955.

It is an arithmetic number, because the mean of its divisors is an integer number (214502400).

Almost surely, 2^16944400564 is an apocalyptic number.

16944400564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16944400564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20592230400).

16944400564 is an abundant number, since it is smaller than the sum of its proper divisors (24240060236).

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

16944400564 is a wasteful number, since it uses less digits than its factorization.

16944400564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 16944400564 in words is "sixteen billion, nine hundred forty-four million, four hundred thousand, five hundred sixty-four".