16977568804 has 81 divisors (see below), whose sum is σ = 35581747089. Its totient is φ = 7067363520.

The previous prime is 16977568781. The next prime is 16977568813. The reversal of 16977568804 is 40886577961.

The square root of 16977568804 is 130298.

It is a perfect power (a square), and thus also a powerful number.

16977568804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 818074404 + 16159494400 = 28602^2 + 127120^2 .

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 26 ways as a sum of consecutive naturals, for example, 74790939 + ... + 74791165.

Almost surely, 2^16977568804 is an apocalyptic number.

16977568804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16977568804 is the 130298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16977568804

16977568804 is an abundant number, since it is smaller than the sum of its proper divisors (18604178285).

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

16977568804 is an equidigital number, since it uses as much as digits as its factorization.

16977568804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 16977568804 in words is "sixteen billion, nine hundred seventy-seven million, five hundred sixty-eight thousand, eight hundred four".