38169686016 has 936 divisors, whose sum is σ = 149456131344. Its totient is φ = 9248440320.

The previous prime is 38169685997. The next prime is 38169686047. The reversal of 38169686016 is 61068696183.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 337784776 + ... + 337784888.

It is an arithmetic number, because the mean of its divisors is an integer number (159675354).

Almost surely, 2^38169686016 is an apocalyptic number.

38169686016 is a gapful number since it is divisible by the number (36) 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 38169686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74728065672).

38169686016 is an abundant number, since it is smaller than the sum of its proper divisors (111286445328).

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

38169686016 is a wasteful number, since it uses less digits than its factorization.

38169686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 38169686016 in words is "thirty-eight billion, one hundred sixty-nine million, six hundred eighty-six thousand, sixteen".