231487216616160 has 576 divisors, whose sum is σ = 839433538944000. Its totient is φ = 57927499370496.

The previous prime is 231487216616137. The next prime is 231487216616167. The reversal of 231487216616160 is 61616612784132.

231487216616160 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 8 + 7 + 2 + 1 + 6 + 616 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 231487216616097 and 231487216616106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231487216616167) 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 95 ways as a sum of consecutive naturals, for example, 1223417241 + ... + 1223606439.

It is an arithmetic number, because the mean of its divisors is an integer number (1457349894000).

Almost surely, 2^{231487216616160} is an apocalyptic number.

231487216616160 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 231487216616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419716769472000).

231487216616160 is an abundant number, since it is smaller than the sum of its proper divisors (607946322327840).

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

231487216616160 is a wasteful number, since it uses less digits than its factorization.

231487216616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189663 (or 189652 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 231487216616160 in words is "two hundred thirty-one trillion, four hundred eighty-seven billion, two hundred sixteen million, six hundred sixteen thousand, one hundred sixty".