231222090188160 has 512 divisors, whose sum is σ = 833569492492800. Its totient is φ = 60564159258624.

The previous prime is 231222090188153. The next prime is 231222090188171. The reversal of 231222090188160 is 61881090222132.

231222090188160 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 220 + 90 + 188 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247657579 + ... + 248589461.

It is an arithmetic number, because the mean of its divisors is an integer number (1628065415025).

Almost surely, 2^{231222090188160} is an apocalyptic number.

231222090188160 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 231222090188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416784746246400).

231222090188160 is an abundant number, since it is smaller than the sum of its proper divisors (602347402304640).

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

231222090188160 is a wasteful number, since it uses less digits than its factorization.

231222090188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932167 (or 932149 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 231222090188160 in words is "two hundred thirty-one trillion, two hundred twenty-two billion, ninety million, one hundred eighty-eight thousand, one hundred sixty".