231953863680 has 1584 divisors, whose sum is σ = 1057727805120. Its totient is φ = 48027893760.

The previous prime is 231953863633. The next prime is 231953863693. The reversal of 231953863680 is 86368359132.

It is a happy number.

231953863680 is a `hidden beast` number, since 23 + 1 + 9 + 538 + 6 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 819624819 + ... + 819625101.

Almost surely, 2^231953863680 is an apocalyptic number.

231953863680 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 231953863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528863902560).

231953863680 is an abundant number, since it is smaller than the sum of its proper divisors (825773941440).

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

231953863680 is a wasteful number, since it uses less digits than its factorization.

231953863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 231953863680 in words is "two hundred thirty-one billion, nine hundred fifty-three million, eight hundred sixty-three thousand, six hundred eighty".