235284036970752 has 864 divisors, whose sum is σ = 858499612588800. Its totient is φ = 60701759078400.

The previous prime is 235284036970751. The next prime is 235284036970819. The reversal of 235284036970752 is 257079630482532.

235284036970752 is a `hidden beast` number, since 2 + 3 + 52 + 8 + 403 + 69 + 70 + 7 + 52 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 235284036970752.

It is not an unprimeable number, because it can be changed into a prime (235284036970751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3198452052 + ... + 3198525612.

Almost surely, 2^{235284036970752} is an apocalyptic number.

235284036970752 is a gapful number since it is divisible by the number (22) 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 235284036970752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429249806294400).

235284036970752 is an abundant number, since it is smaller than the sum of its proper divisors (623215575618048).

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

235284036970752 is a wasteful number, since it uses less digits than its factorization.

235284036970752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73772 (or 73733 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 235284036970752 in words is "two hundred thirty-five trillion, two hundred eighty-four billion, thirty-six million, nine hundred seventy thousand, seven hundred fifty-two".