38317135704912 has 160 divisors (see below), whose sum is σ = 112926266006400. Its totient is φ = 12432766768128.

The previous prime is 38317135704899. The next prime is 38317135704923. The reversal of 38317135704912 is 21940753171383.

38317135704912 is a `hidden beast` number, since 3 + 8 + 3 + 1 + 7 + 13 + 570 + 49 + 12 = 666.

It is a super-3 number, since 3×38317135704912³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1922764 + ... + 8962772.

It is an arithmetic number, because the mean of its divisors is an integer number (705789162540).

Almost surely, 2^{38317135704912} 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 38317135704912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56463133003200).

38317135704912 is an abundant number, since it is smaller than the sum of its proper divisors (74609130301488).

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

38317135704912 is a wasteful number, since it uses less digits than its factorization.

38317135704912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040362 (or 7040350 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 38317135704912 in words is "thirty-eight trillion, three hundred seventeen billion, one hundred thirty-five million, seven hundred four thousand, nine hundred twelve".