13934631999744 has 189 divisors, whose sum is σ = 41707997132529. Its totient is φ = 4644339793920.

The previous prime is 13934631999737. The next prime is 13934631999773. The reversal of 13934631999744 is 44799913643931.

The square root of 13934631999744 is 3732912.

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

13934631999744 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 463 + 1 + 9 + 99 + 74 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 387521190144 + 13547110809600 = 622512^2 + 3680640^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 20 ways as a sum of consecutive naturals, for example, 1612613664 + ... + 1612622304.

Almost surely, 2^{13934631999744} is an apocalyptic number.

13934631999744 is the 3732912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13934631999744

13934631999744 is an abundant number, since it is smaller than the sum of its proper divisors (27773365132785).

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

13934631999744 is an frugal number, since it uses more digits than its factorization.

13934631999744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17316 (or 8646 counting only the distinct ones).

The product of its digits is 476171136, while the sum is 72.

The spelling of 13934631999744 in words is "thirteen trillion, nine hundred thirty-four billion, six hundred thirty-one million, nine hundred ninety-nine thousand, seven hundred forty-four".