233142255663408 has 1280 divisors, whose sum is σ = 843368687616000. Its totient is φ = 60031142019072.

The previous prime is 233142255663379. The next prime is 233142255663439. The reversal of 233142255663408 is 804366552241332.

233142255663408 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 4 + 22 + 556 + 63 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×233142255663408² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 296241747591 + ... + 296241748377.

It is an arithmetic number, because the mean of its divisors is an integer number (658881787200).

Almost surely, 2^{233142255663408} is an apocalyptic number.

233142255663408 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 233142255663408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421684343808000).

233142255663408 is an abundant number, since it is smaller than the sum of its proper divisors (610226431952592).

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

233142255663408 is a wasteful number, since it uses less digits than its factorization.

233142255663408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 233142255663408 in words is "two hundred thirty-three trillion, one hundred forty-two billion, two hundred fifty-five million, six hundred sixty-three thousand, four hundred eight".