13998249456464 has 120 divisors (see below), whose sum is σ = 33978370198248. Its totient is φ = 5537467514880.

The previous prime is 13998249456407. The next prime is 13998249456473. The reversal of 13998249456464 is 46465494289931.

It can be written as a sum of positive squares in 4 ways, for example, as 5208162979600 + 8790086476864 = 2282140^2 + 2964808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13998249456391 and 13998249456400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330617504 + ... + 330659840.

Almost surely, 2^{13998249456464} is an apocalyptic number.

13998249456464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13998249456464 is an abundant number, since it is smaller than the sum of its proper divisors (19980120741784).

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

13998249456464 is a wasteful number, since it uses less digits than its factorization.

13998249456464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74813 (or 74800 counting only the distinct ones).

The product of its digits is 1612431360, while the sum is 74.

The spelling of 13998249456464 in words is "thirteen trillion, nine hundred ninety-eight billion, two hundred forty-nine million, four hundred fifty-six thousand, four hundred sixty-four".