235013684842224 has 320 divisors, whose sum is σ = 735183323827200. Its totient is φ = 71670999426048.

The previous prime is 235013684842219. The next prime is 235013684842231. The reversal of 235013684842224 is 422248486310532.

235013684842224 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 136 + 8 + 484 + 2 + 2 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16272802 + ... + 27107774.

It is an arithmetic number, because the mean of its divisors is an integer number (2297447886960).

Almost surely, 2^{235013684842224} is an apocalyptic number.

235013684842224 is a gapful number since it is divisible by the number (24) 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 235013684842224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367591661913600).

235013684842224 is an abundant number, since it is smaller than the sum of its proper divisors (500169638984976).

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

235013684842224 is a wasteful number, since it uses less digits than its factorization.

235013684842224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10835109 (or 10835097 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 235013684842224 in words is "two hundred thirty-five trillion, thirteen billion, six hundred eighty-four million, eight hundred forty-two thousand, two hundred twenty-four".