231252198912 has 640 divisors, whose sum is σ = 815246868480. Its totient is φ = 63332720640.

The previous prime is 231252198907. The next prime is 231252198917. The reversal of 231252198912 is 219891252132.

231252198912 is a `hidden beast` number, since 2 + 31 + 2 + 521 + 9 + 8 + 91 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (231252198907) and next prime (231252198917).

It is a super-3 number, since 3×231252198912³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231252198917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380975313 + ... + 380975919.

It is an arithmetic number, because the mean of its divisors is an integer number (1273823232).

Almost surely, 2^231252198912 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 231252198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407623434240).

231252198912 is an abundant number, since it is smaller than the sum of its proper divisors (583994669568).

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

231252198912 is a wasteful number, since it uses less digits than its factorization.

231252198912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 777 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 231252198912 in words is "two hundred thirty-one billion, two hundred fifty-two million, one hundred ninety-eight thousand, nine hundred twelve".