13857814793088 has 3072 divisors, whose sum is σ = 55431806976000. Its totient is φ = 3352901713920.

The previous prime is 13857814793077. The next prime is 13857814793093. The reversal of 13857814793088 is 88039741875831.

It is a happy number.

13857814793088 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 78 + 1 + 479 + 3 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 155705784148 + ... + 155705784236.

It is an arithmetic number, because the mean of its divisors is an integer number (18044208000).

Almost surely, 2^{13857814793088} is an apocalyptic number.

13857814793088 is a gapful number since it is divisible by the number (18) 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 13857814793088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27715903488000).

13857814793088 is an abundant number, since it is smaller than the sum of its proper divisors (41573992182912).

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

13857814793088 is a wasteful number, since it uses less digits than its factorization.

13857814793088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 13857814793088 in words is "thirteen trillion, eight hundred fifty-seven billion, eight hundred fourteen million, seven hundred ninety-three thousand, eighty-eight".