231316641216 has 896 divisors, whose sum is σ = 811109376000. Its totient is φ = 64099123200.

The previous prime is 231316641209. The next prime is 231316641217. The reversal of 231316641216 is 612146613132.

231316641216 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 1 + 6 + 641 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231316641217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 501771226 + ... + 501771686.

It is an arithmetic number, because the mean of its divisors is an integer number (905256000).

Almost surely, 2^231316641216 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 231316641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405554688000).

231316641216 is an abundant number, since it is smaller than the sum of its proper divisors (579792734784).

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

231316641216 is a wasteful number, since it uses less digits than its factorization.

231316641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 562 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 231316641216 in words is "two hundred thirty-one billion, three hundred sixteen million, six hundred forty-one thousand, two hundred sixteen".