13386868992 has 324 divisors, whose sum is σ = 45165491280. Its totient is φ = 3802208256.

The previous prime is 13386868987. The next prime is 13386869033. The reversal of 13386868992 is 29986868331.

13386868992 is a `hidden beast` number, since 13 + 386 + 86 + 89 + 92 = 666.

It is a super-2 number, since 2×13386868992² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31949359 + ... + 31949777.

Almost surely, 2^13386868992 is an apocalyptic number.

13386868992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13386868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22582745640).

13386868992 is an abundant number, since it is smaller than the sum of its proper divisors (31778622288).

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

13386868992 is a wasteful number, since it uses less digits than its factorization.

13386868992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 714 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 13386868992 in words is "thirteen billion, three hundred eighty-six million, eight hundred sixty-eight thousand, nine hundred ninety-two".