231284729760 has 384 divisors, whose sum is σ = 844266737664. Its totient is φ = 52130856960.

The previous prime is 231284729749. The next prime is 231284729773. The reversal of 231284729760 is 67927482132.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 80111037 + ... + 80113923.

It is an arithmetic number, because the mean of its divisors is an integer number (2198611296).

Almost surely, 2^231284729760 is an apocalyptic number.

231284729760 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 231284729760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422133368832).

231284729760 is an abundant number, since it is smaller than the sum of its proper divisors (612982007904).

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

231284729760 is a wasteful number, since it uses less digits than its factorization.

231284729760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 231284729760 in words is "two hundred thirty-one billion, two hundred eighty-four million, seven hundred twenty-nine thousand, seven hundred sixty".