38112386112 has 112 divisors (see below), whose sum is σ = 112233456000. Its totient is φ = 12682575360.

The previous prime is 38112386107. The next prime is 38112386129. The reversal of 38112386112 is 21168321183.

38112386112 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 2 + 38 + 611 + 2 = 666.

38112386112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1016662 + ... + 1053482.

Almost surely, 2^38112386112 is an apocalyptic number.

38112386112 is a gapful number since it is divisible by the number (32) 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 38112386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56116728000).

38112386112 is an abundant number, since it is smaller than the sum of its proper divisors (74121069888).

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

38112386112 is a wasteful number, since it uses less digits than its factorization.

38112386112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37441 (or 37425 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 38112386112 in words is "thirty-eight billion, one hundred twelve million, three hundred eighty-six thousand, one hundred twelve".