231512602106240 has 1536 divisors, whose sum is σ = 726320913776640. Its totient is φ = 69863027834880.

The previous prime is 231512602106189. The next prime is 231512602106243. The reversal of 231512602106240 is 42601206215132.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 231512602106240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231512602106243) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 381404616017 + ... + 381404616623.

It is an arithmetic number, because the mean of its divisors is an integer number (472865178240).

Almost surely, 2^{231512602106240} is an apocalyptic number.

231512602106240 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 231512602106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363160456888320).

231512602106240 is an abundant number, since it is smaller than the sum of its proper divisors (494808311670400).

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

231512602106240 is a wasteful number, since it uses less digits than its factorization.

231512602106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 231512602106240 in words is "two hundred thirty-one trillion, five hundred twelve billion, six hundred two million, one hundred six thousand, two hundred forty".