16646160400 has 45 divisors (see below), whose sum is σ = 39998600733. Its totient is φ = 6657432000.

The previous prime is 16646160371. The next prime is 16646160403. The reversal of 16646160400 is 406164661.

The square root of 16646160400 is 129020.

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

It can be written as a sum of positive squares in only one way, i.e., 5992617744 + 10653542656 = 77412^2 + 103216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16646160403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2577175 + ... + 2583625.

Almost surely, 2^16646160400 is an apocalyptic number.

16646160400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16646160400 is the 129020-th square number.

It is an amenable number.

16646160400 is an abundant number, since it is smaller than the sum of its proper divisors (23352440333).

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

16646160400 is an frugal number, since it uses more digits than its factorization.

16646160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12920 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Multiplying 16646160400 by its product of nonzero digits (20736), we get a square (345174782054400 = 18578880²).

The spelling of 16646160400 in words is "sixteen billion, six hundred forty-six million, one hundred sixty thousand, four hundred".