13686264827424 has 192 divisors, whose sum is σ = 46263431854080. Its totient is φ = 3855285745920.

The previous prime is 13686264827399. The next prime is 13686264827429. The reversal of 13686264827424 is 42472846268631.

13686264827424 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 62 + 6 + 482 + 74 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13686264827429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15506794 + ... + 16365609.

It is an arithmetic number, because the mean of its divisors is an integer number (240955374240).

Almost surely, 2^{13686264827424} is an apocalyptic number.

13686264827424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13686264827424 is an abundant number, since it is smaller than the sum of its proper divisors (32577167026656).

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

13686264827424 is a wasteful number, since it uses less digits than its factorization.

13686264827424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31872500 (or 31872486 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 13686264827424 in words is "thirteen trillion, six hundred eighty-six billion, two hundred sixty-four million, eight hundred twenty-seven thousand, four hundred twenty-four".