38531066112 has 1296 divisors, whose sum is σ = 157034142720. Its totient is φ = 8941363200.

The previous prime is 38531066111. The next prime is 38531066129. The reversal of 38531066112 is 21166013583.

38531066112 is a `hidden beast` number, since 3 + 8 + 5 + 31 + 0 + 6 + 611 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38531066111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 542691037 + ... + 542691107.

It is an arithmetic number, because the mean of its divisors is an integer number (121168320).

Almost surely, 2^38531066112 is an apocalyptic number.

38531066112 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 38531066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78517071360).

38531066112 is an abundant number, since it is smaller than the sum of its proper divisors (118503076608).

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

38531066112 is a wasteful number, since it uses less digits than its factorization.

38531066112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 38531066112 its reverse (21166013583), we get a palindrome (59697079695).

The spelling of 38531066112 in words is "thirty-eight billion, five hundred thirty-one million, sixty-six thousand, one hundred twelve".