13933887261264 has 120 divisors (see below), whose sum is σ = 39267515960192. Its totient is φ = 4612281523200.

The previous prime is 13933887261209. The next prime is 13933887261289. The reversal of 13933887261264 is 46216278833931.

It is a happy number.

13933887261264 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 3 + 8 + 8 + 7 + 2 + 612 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27942729 + ... + 28437015.

Almost surely, 2^{13933887261264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13933887261264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19633757980096).

13933887261264 is an abundant number, since it is smaller than the sum of its proper divisors (25333628698928).

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

13933887261264 is a wasteful number, since it uses less digits than its factorization.

13933887261264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495665 (or 495656 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 13933887261264 in words is "thirteen trillion, nine hundred thirty-three billion, eight hundred eighty-seven million, two hundred sixty-one thousand, two hundred sixty-four".