231746632416 has 480 divisors, whose sum is σ = 790451434080. Its totient is φ = 65965031424.

The previous prime is 231746632349. The next prime is 231746632457. The reversal of 231746632416 is 614236647132.

231746632416 is a `hidden beast` number, since 2 + 3 + 1 + 7 + 4 + 6 + 632 + 4 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33793660 + ... + 33800516.

It is an arithmetic number, because the mean of its divisors is an integer number (1646773821).

Almost surely, 2^231746632416 is an apocalyptic number.

231746632416 is a gapful number since it is divisible by the number (26) 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 231746632416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395225717040).

231746632416 is an abundant number, since it is smaller than the sum of its proper divisors (558704801664).

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

231746632416 is a wasteful number, since it uses less digits than its factorization.

231746632416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6968 (or 6951 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 231746632416 in words is "two hundred thirty-one billion, seven hundred forty-six million, six hundred thirty-two thousand, four hundred sixteen".