233680086355968 has 2080 divisors, whose sum is σ = 895505102807040. Its totient is φ = 59108150476800.

The previous prime is 233680086355907. The next prime is 233680086355981. The reversal of 233680086355968 is 869553680086332.

233680086355968 is a `hidden beast` number, since 2 + 3 + 3 + 6 + 8 + 0 + 0 + 8 + 6 + 3 + 559 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 233680086355896 and 233680086355905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 113271974905 + ... + 113271976967.

Almost surely, 2^{233680086355968} is an apocalyptic number.

233680086355968 is a gapful number since it is divisible by the number (28) 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 233680086355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447752551403520).

233680086355968 is an abundant number, since it is smaller than the sum of its proper divisors (661825016451072).

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

233680086355968 is a wasteful number, since it uses less digits than its factorization.

233680086355968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 1343692800, while the sum is 72.

The spelling of 233680086355968 in words is "two hundred thirty-three trillion, six hundred eighty billion, eighty-six million, three hundred fifty-five thousand, nine hundred sixty-eight".