16631144296900 has 729 divisors, whose sum is σ = 46934809000149. Its totient is φ = 5098902251520.

The previous prime is 16631144296861. The next prime is 16631144296909. The reversal of 16631144296900 is 969244113661.

The square root of 16631144296900 is 4078130.

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

It can be written as a sum of positive squares in 13 ways, for example, as 12768001218756 + 3863143078144 = 3573234^2 + 1965488^2 .

It is a super-2 number, since 2×16631144296900² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16631144296909) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 111618418026 + ... + 111618418174.

Almost surely, 2^{16631144296900} is an apocalyptic number.

16631144296900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16631144296900 is the 4078130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16631144296900

16631144296900 is an abundant number, since it is smaller than the sum of its proper divisors (30303664703249).

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

16631144296900 is a wasteful number, since it uses less digits than its factorization.

16631144296900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 16631144296900 in words is "sixteen trillion, six hundred thirty-one billion, one hundred forty-four million, two hundred ninety-six thousand, nine hundred".