38091618327168 has 448 divisors, whose sum is σ = 130099702560000. Its totient is φ = 10877502265344.

The previous prime is 38091618327157. The next prime is 38091618327253. The reversal of 38091618327168 is 86172381619083.

38091618327168 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 1 + 618 + 3 + 2 + 7 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1305700230 + ... + 1305729402.

Almost surely, 2^{38091618327168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38091618327168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65049851280000).

38091618327168 is an abundant number, since it is smaller than the sum of its proper divisors (92008084232832).

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

38091618327168 is an equidigital number, since it uses as much as digits as its factorization.

38091618327168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31211 (or 31184 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 38091618327168 in words is "thirty-eight trillion, ninety-one billion, six hundred eighteen million, three hundred twenty-seven thousand, one hundred sixty-eight".