233880970641408 has 960 divisors, whose sum is σ = 721514870092800. Its totient is φ = 74835076055040.

The previous prime is 233880970641397. The next prime is 233880970641427. The reversal of 233880970641408 is 804146079088332.

233880970641408 is a `hidden beast` number, since 2 + 3 + 3 + 8 + 80 + 97 + 0 + 64 + 1 + 408 = 666.

It is an unprimeable number.

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, 190301846938 + ... + 190301848166.

It is an arithmetic number, because the mean of its divisors is an integer number (751577989680).

Almost surely, 2^{233880970641408} 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 233880970641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360757435046400).

233880970641408 is an abundant number, since it is smaller than the sum of its proper divisors (487633899451392).

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

233880970641408 is an equidigital number, since it uses as much as digits as its factorization.

233880970641408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 233880970641408 in words is "two hundred thirty-three trillion, eight hundred eighty billion, nine hundred seventy million, six hundred forty-one thousand, four hundred eight".