233133064159680 has 896 divisors, whose sum is σ = 861821817120000. Its totient is φ = 59989087420416.

The previous prime is 233133064159631. The next prime is 233133064159691. The reversal of 233133064159680 is 86951460331332.

233133064159680 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 3 + 3 + 0 + 6 + 41 + 596 + 8 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57577934296 + ... + 57577938344.

Almost surely, 2^{233133064159680} is an apocalyptic number.

233133064159680 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 233133064159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430910908560000).

233133064159680 is an abundant number, since it is smaller than the sum of its proper divisors (628688752960320).

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

233133064159680 is an equidigital number, since it uses as much as digits as its factorization.

233133064159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6953 (or 6925 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 233133064159680 in words is "two hundred thirty-three trillion, one hundred thirty-three billion, sixty-four million, one hundred fifty-nine thousand, six hundred eighty".