13983407664 has 80 divisors (see below), whose sum is σ = 39062642688. Its totient is φ = 4293600256.

The previous prime is 13983407663. The next prime is 13983407689. The reversal of 13983407664 is 46670438931.

13983407664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13983407664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (13983407663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 143952 + ... + 220655.

Almost surely, 2^13983407664 is an apocalyptic number.

It is an amenable number.

13983407664 is an abundant number, since it is smaller than the sum of its proper divisors (25079235024).

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

13983407664 is a wasteful number, since it uses less digits than its factorization.

13983407664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364682 (or 364676 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 13983407664 in words is "thirteen billion, nine hundred eighty-three million, four hundred seven thousand, six hundred sixty-four".