231374656377792 has 2016 divisors, whose sum is σ = 805687560437760. Its totient is φ = 65558771712000.

The previous prime is 231374656377791. The next prime is 231374656377797. The reversal of 231374656377792 is 297773656473132.

231374656377792 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 7 + 465 + 6 + 3 + 7 + 77 + 92 = 666.

It is a super-3 number, since 3×231374656377792³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 231374656377792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231374656377791) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 187956665817 + ... + 187956667047.

It is an arithmetic number, because the mean of its divisors is an integer number (399646607360).

Almost surely, 2^{231374656377792} 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 231374656377792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402843780218880).

231374656377792 is an abundant number, since it is smaller than the sum of its proper divisors (574312904059968).

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

231374656377792 is a wasteful number, since it uses less digits than its factorization.

231374656377792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1374 counting only the distinct ones).

The product of its digits is 1680315840, while the sum is 72.

The spelling of 231374656377792 in words is "two hundred thirty-one trillion, three hundred seventy-four billion, six hundred fifty-six million, three hundred seventy-seven thousand, seven hundred ninety-two".