38170115568000 has 2048 divisors, whose sum is σ = 153966548736000. Its totient is φ = 9293626368000.

The previous prime is 38170115567981. The next prime is 38170115568023. The reversal of 38170115568000 is 86551107183.

38170115568000 is a `hidden beast` number, since 3 + 8 + 1 + 7 + 0 + 11 + 556 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 124332623847 + ... + 124332624153.

It is an arithmetic number, because the mean of its divisors is an integer number (75178978875).

Almost surely, 2^{38170115568000} is an apocalyptic number.

38170115568000 is a gapful number since it is divisible by the number (30) 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 38170115568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76983274368000).

38170115568000 is an abundant number, since it is smaller than the sum of its proper divisors (115796433168000).

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

38170115568000 is a wasteful number, since it uses less digits than its factorization.

38170115568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 38170115568000 in words is "thirty-eight trillion, one hundred seventy billion, one hundred fifteen million, five hundred sixty-eight thousand".