233321395968 has 576 divisors, whose sum is σ = 754023424000. Its totient is φ = 70920105984.

The previous prime is 233321395961. The next prime is 233321395969. The reversal of 233321395968 is 869593123332.

233321395968 is a `hidden beast` number, since 2 + 3 + 3 + 32 + 13 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233321395961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 446120955 + ... + 446121477.

Almost surely, 2^233321395968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233321395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377011712000).

233321395968 is an abundant number, since it is smaller than the sum of its proper divisors (520702028032).

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

233321395968 is a wasteful number, since it uses less digits than its factorization.

233321395968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 669 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 233321395968 in words is "two hundred thirty-three billion, three hundred twenty-one million, three hundred ninety-five thousand, nine hundred sixty-eight".