231393315345192 has 384 divisors, whose sum is σ = 843116601600000. Its totient is φ = 55367727966720.

The previous prime is 231393315345163. The next prime is 231393315345197. The reversal of 231393315345192 is 291543513393132.

231393315345192 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 9 + 33 + 153 + 451 + 9 + 2 = 666.

231393315345192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (231393315345197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32746909 + ... + 39180947.

It is an arithmetic number, because the mean of its divisors is an integer number (2195616150000).

Almost surely, 2^{231393315345192} is an apocalyptic number.

231393315345192 is a gapful number since it is divisible by the number (22) 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 231393315345192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421558300800000).

231393315345192 is an abundant number, since it is smaller than the sum of its proper divisors (611723286254808).

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

231393315345192 is a wasteful number, since it uses less digits than its factorization.

231393315345192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6434581 (or 6434574 counting only the distinct ones).

The product of its digits is 7873200, while the sum is 54.

The spelling of 231393315345192 in words is "two hundred thirty-one trillion, three hundred ninety-three billion, three hundred fifteen million, three hundred forty-five thousand, one hundred ninety-two".