13986382395825 has 432 divisors, whose sum is σ = 31308951098880. Its totient is φ = 5929595965440.

The previous prime is 13986382395803. The next prime is 13986382395847. The reversal of 13986382395825 is 52859328368931.

13986382395825 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 6 + 3 + 8 + 2 + 39 + 582 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13986382395803) and next prime (13986382395847).

It is not a de Polignac number, because 13986382395825 - 2⁷ = 13986382395697 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7451454787 + ... + 7451456663.

It is an arithmetic number, because the mean of its divisors is an integer number (72474423840).

Almost surely, 2^{13986382395825} is an apocalyptic number.

13986382395825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13986382395825 is an abundant number, since it is smaller than the sum of its proper divisors (17322568703055).

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

13986382395825 is a wasteful number, since it uses less digits than its factorization.

13986382395825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2471 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 13986382395825 in words is "thirteen trillion, nine hundred eighty-six billion, three hundred eighty-two million, three hundred ninety-five thousand, eight hundred twenty-five".