38118131712 has 384 divisors, whose sum is σ = 119906841600. Its totient is φ = 11943936000.

The previous prime is 38118131617. The next prime is 38118131729. The reversal of 38118131712 is 21713181183.

38118131712 is a `hidden beast` number, since 381 + 181 + 31 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63424212 + ... + 63424812.

It is an arithmetic number, because the mean of its divisors is an integer number (312257400).

Almost surely, 2^38118131712 is an apocalyptic number.

38118131712 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 38118131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59953420800).

38118131712 is an abundant number, since it is smaller than the sum of its proper divisors (81788709888).

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

38118131712 is a wasteful number, since it uses less digits than its factorization.

38118131712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 674 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The spelling of 38118131712 in words is "thirty-eight billion, one hundred eighteen million, one hundred thirty-one thousand, seven hundred twelve".