13982267538 has 54 divisors (see below), whose sum is σ = 31005485589. Its totient is φ = 4553898432.

The previous prime is 13982267527. The next prime is 13982267543. The reversal of 13982267538 is 83576228931.

13982267538 is a `hidden beast` number, since 1 + 3 + 9 + 82 + 26 + 7 + 538 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13795207209 + 187060329 = 117453^2 + 13677^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=83613.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23578570 + ... + 23579162.

Almost surely, 2^13982267538 is an apocalyptic number.

13982267538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13982267538 is an abundant number, since it is smaller than the sum of its proper divisors (17023218051).

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

13982267538 is an frugal number, since it uses more digits than its factorization.

13982267538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 645 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 13982267538 in words is "thirteen billion, nine hundred eighty-two million, two hundred sixty-seven thousand, five hundred thirty-eight".