239393618042112 has 1008 divisors, whose sum is σ = 779253577310208. Its totient is φ = 73144858152960.

The previous prime is 239393618042041. The next prime is 239393618042119. The reversal of 239393618042112 is 211240816393932.

It is a happy number.

239393618042112 is a `hidden beast` number, since 2 + 3 + 9 + 3 + 9 + 3 + 618 + 0 + 4 + 2 + 1 + 12 = 666.

It is a super-2 number, since 2×239393618042112² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239393618042119) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13705471203 + ... + 13705488669.

Almost surely, 2^{239393618042112} 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 239393618042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389626788655104).

239393618042112 is an abundant number, since it is smaller than the sum of its proper divisors (539859959268096).

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

239393618042112 is a wasteful number, since it uses less digits than its factorization.

239393618042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17658 (or 17629 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 239393618042112 in words is "two hundred thirty-nine trillion, three hundred ninety-three billion, six hundred eighteen million, forty-two thousand, one hundred twelve".