38139222816 has 96 divisors (see below), whose sum is σ = 111570338880. Its totient is φ = 12675253248.

The previous prime is 38139222809. The next prime is 38139222871. The reversal of 38139222816 is 61822293183.

38139222816 is a `hidden beast` number, since 38 + 1 + 392 + 228 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225675 + ... + 356661.

It is an arithmetic number, because the mean of its divisors is an integer number (1162191030).

Almost surely, 2^38139222816 is an apocalyptic number.

38139222816 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 38139222816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55785169440).

38139222816 is an abundant number, since it is smaller than the sum of its proper divisors (73431116064).

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

38139222816 is a wasteful number, since it uses less digits than its factorization.

38139222816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131343 (or 131329 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 38139222816 in words is "thirty-eight billion, one hundred thirty-nine million, two hundred twenty-two thousand, eight hundred sixteen".