233068895136000 has 10368 divisors, whose sum is σ = 1206720145612800. Its totient is φ = 42918543360000.

The previous prime is 233068895135987. The next prime is 233068895136053. The reversal of 233068895136000 is 631598860332.

It is a happy number.

233068895136000 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 68 + 8 + 9 + 513 + 60 + 0 + 0 = 666.

233068895136000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×233068895136000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 6299159327982 + ... + 6299159328018.

Almost surely, 2^{233068895136000} is an apocalyptic number.

233068895136000 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 233068895136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603360072806400).

233068895136000 is an abundant number, since it is smaller than the sum of its proper divisors (973651250476800).

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

233068895136000 is a wasteful number, since it uses less digits than its factorization.

233068895136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 233068895136000 in words is "two hundred thirty-three trillion, sixty-eight billion, eight hundred ninety-five million, one hundred thirty-six thousand".