233681379390720 has 864 divisors, whose sum is σ = 867848921896320. Its totient is φ = 60133059624960.

The previous prime is 233681379390709. The next prime is 233681379390721. The reversal of 233681379390720 is 27093973186332.

233681379390720 is a `hidden beast` number, since 2 + 3 + 36 + 81 + 3 + 79 + 390 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233681379390721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19221954882 + ... + 19221967038.

Almost surely, 2^{233681379390720} is an apocalyptic number.

233681379390720 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 233681379390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433924460948160).

233681379390720 is an abundant number, since it is smaller than the sum of its proper divisors (634167542505600).

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

233681379390720 is a wasteful number, since it uses less digits than its factorization.

233681379390720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14353 (or 14327 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 233681379390720 in words is "two hundred thirty-three trillion, six hundred eighty-one billion, three hundred seventy-nine million, three hundred ninety thousand, seven hundred twenty".