233934982848 has 840 divisors, whose sum is σ = 865546643808. Its totient is φ = 60985737216.

The previous prime is 233934982781. The next prime is 233934982907. The reversal of 233934982848 is 848289439332.

233934982848 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 349 + 8 + 284 + 8 = 666.

233934982848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×233934982848² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 844530486 + ... + 844530762.

Almost surely, 2^233934982848 is an apocalyptic number.

233934982848 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 233934982848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432773321904).

233934982848 is an abundant number, since it is smaller than the sum of its proper divisors (631611660960).

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

233934982848 is a wasteful number, since it uses less digits than its factorization.

233934982848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 343 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 233934982848 in words is "two hundred thirty-three billion, nine hundred thirty-four million, nine hundred eighty-two thousand, eight hundred forty-eight".