235641424896 has 264 divisors, whose sum is σ = 729153747504. Its totient is φ = 73032007680.

The previous prime is 235641424871. The next prime is 235641424943. The reversal of 235641424896 is 698424146532.

235641424896 is a `hidden beast` number, since 2 + 356 + 41 + 4 + 248 + 9 + 6 = 666.

It is a super-2 number, since 2×235641424896² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 12994716 + ... + 13012836.

Almost surely, 2^235641424896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235641424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364576873752).

235641424896 is an abundant number, since it is smaller than the sum of its proper divisors (493512322608).

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

235641424896 is a wasteful number, since it uses less digits than its factorization.

235641424896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18247 (or 18226 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 235641424896 in words is "two hundred thirty-five billion, six hundred forty-one million, four hundred twenty-four thousand, eight hundred ninety-six".