13817385792 has 168 divisors, whose sum is σ = 47231174016. Its totient is φ = 3776154624.

The previous prime is 13817385787. The next prime is 13817385793. The reversal of 13817385792 is 29758371831.

It is a happy number.

13817385792 is a `hidden beast` number, since 1 + 38 + 1 + 7 + 38 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13817385793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18238 + ... + 167234.

Almost surely, 2^13817385792 is an apocalyptic number.

13817385792 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 13817385792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23615587008).

13817385792 is an abundant number, since it is smaller than the sum of its proper divisors (33413788224).

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

13817385792 is a wasteful number, since it uses less digits than its factorization.

13817385792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149045 (or 149032 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 13817385792 in words is "thirteen billion, eight hundred seventeen million, three hundred eighty-five thousand, seven hundred ninety-two".