235752348384 has 864 divisors, whose sum is σ = 858309903360. Its totient is φ = 60963840000.

The previous prime is 235752348361. The next prime is 235752348397. The reversal of 235752348384 is 483843257532.

235752348384 is a `hidden beast` number, since 2 + 3 + 575 + 2 + 34 + 8 + 38 + 4 = 666.

It is a super-2 number, since 2×235752348384² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 235752348384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 939252259 + ... + 939252509.

It is an arithmetic number, because the mean of its divisors is an integer number (993414240).

Almost surely, 2^235752348384 is an apocalyptic number.

235752348384 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 235752348384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429154951680).

235752348384 is an abundant number, since it is smaller than the sum of its proper divisors (622557554976).

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

235752348384 is a wasteful number, since it uses less digits than its factorization.

235752348384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 426 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 235752348384 in words is "two hundred thirty-five billion, seven hundred fifty-two million, three hundred forty-eight thousand, three hundred eighty-four".