233698161408768 has 1080 divisors, whose sum is σ = 861998195730672. Its totient is φ = 62572412141568.

The previous prime is 233698161408709. The next prime is 233698161408773. The reversal of 233698161408768 is 867804161896332.

233698161408768 is a `hidden beast` number, since 2 + 3 + 3 + 6 + 98 + 1 + 61 + 408 + 76 + 8 = 666.

It is a super-2 number, since 2×233698161408768² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 233698161408696 and 233698161408705.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4024600471 + ... + 4024658537.

Almost surely, 2^{233698161408768} is an apocalyptic number.

233698161408768 is a gapful number since it is divisible by the number (28) 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 233698161408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430999097865336).

233698161408768 is an abundant number, since it is smaller than the sum of its proper divisors (628300034321904).

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

233698161408768 is a wasteful number, since it uses less digits than its factorization.

233698161408768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58359 (or 58329 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 233698161408768 in words is "two hundred thirty-three trillion, six hundred ninety-eight billion, one hundred sixty-one million, four hundred eight thousand, seven hundred sixty-eight".