231461134668288 has 800 divisors, whose sum is σ = 793528013456640. Its totient is φ = 65798705479680.

The previous prime is 231461134668223. The next prime is 231461134668293. The reversal of 231461134668288 is 882866431164132.

231461134668288 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 6 + 1 + 1 + 346 + 6 + 8 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 79 ways as a sum of consecutive naturals, for example, 79731701845 + ... + 79731704747.

Almost surely, 2^{231461134668288} is an apocalyptic number.

231461134668288 is a gapful number since it is divisible by the number (28) 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 231461134668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396764006728320).

231461134668288 is an abundant number, since it is smaller than the sum of its proper divisors (562066878788352).

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

231461134668288 is a wasteful number, since it uses less digits than its factorization.

231461134668288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4205 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 231461134668288 in words is "two hundred thirty-one trillion, four hundred sixty-one billion, one hundred thirty-four million, six hundred sixty-eight thousand, two hundred eighty-eight".