231397866735840 has 1152 divisors, whose sum is σ = 984643399434240. Its totient is φ = 48309013868544.

The previous prime is 231397866735751. The next prime is 231397866735857. The reversal of 231397866735840 is 48537668793132.

231397866735840 is a `hidden beast` number, since 2 + 3 + 1 + 39 + 7 + 8 + 6 + 6 + 7 + 3 + 584 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 602904639 + ... + 603288321.

It is an arithmetic number, because the mean of its divisors is an integer number (854725173120).

It is a 2-persistent number, because it is pandigital, and so is 2⋅231397866735840 = 462795733471680, but 3⋅231397866735840 = 694193600207520 is not.

Almost surely, 2^{231397866735840} is an apocalyptic number.

231397866735840 is a gapful number since it is divisible by the number (20) 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 231397866735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492321699717120).

231397866735840 is an abundant number, since it is smaller than the sum of its proper divisors (753245532698400).

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

231397866735840 is a wasteful number, since it uses less digits than its factorization.

231397866735840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383844 (or 383833 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 231397866735840 in words is "two hundred thirty-one trillion, three hundred ninety-seven billion, eight hundred sixty-six million, seven hundred thirty-five thousand, eight hundred forty".