13993016044176 has 225 divisors, whose sum is σ = 43860352484619. Its totient is φ = 4305004733952.

The previous prime is 13993016044043. The next prime is 13993016044181. The reversal of 13993016044176 is 67144061039931.

The square root of 13993016044176 is 3740724.

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

13993016044176 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 30 + 160 + 441 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8234167986576 + 5758848057600 = 2869524^2 + 2399760^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1750654836 + ... + 1750662828.

Almost surely, 2^{13993016044176} is an apocalyptic number.

13993016044176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13993016044176 is the 3740724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13993016044176

13993016044176 is an abundant number, since it is smaller than the sum of its proper divisors (29867336440443).

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

13993016044176 is an frugal number, since it uses more digits than its factorization.

13993016044176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16032 (or 8011 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 13993016044176 in words is "thirteen trillion, nine hundred ninety-three billion, sixteen million, forty-four thousand, one hundred seventy-six".