233131514672540 has 96 divisors (see below), whose sum is σ = 539392455080640. Its totient is φ = 83932409088000.

The previous prime is 233131514672509. The next prime is 233131514672549. The reversal of 233131514672540 is 45276415131332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233131514672549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598701026 + ... + 599090294.

It is an arithmetic number, because the mean of its divisors is an integer number (5618671407090).

Almost surely, 2^{233131514672540} is an apocalyptic number.

233131514672540 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 233131514672540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269696227540320).

233131514672540 is an abundant number, since it is smaller than the sum of its proper divisors (306260940408100).

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

233131514672540 is a wasteful number, since it uses less digits than its factorization.

233131514672540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416343 (or 416341 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 47.

The spelling of 233131514672540 in words is "two hundred thirty-three trillion, one hundred thirty-one billion, five hundred fourteen million, six hundred seventy-two thousand, five hundred forty".