23035233253032 has 768 divisors, whose sum is σ = 88233949440000. Its totient is φ = 5228644608000.

The previous prime is 23035233253009. The next prime is 23035233253033.

23035233253032 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 5 + 23 + 325 + 303 + 2 = 666.

23035233253032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23035233253033) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2326551282 + ... + 2326561182.

It is an arithmetic number, because the mean of its divisors is an integer number (114887955000).

Almost surely, 2^{23035233253032} is an apocalyptic number.

23035233253032 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 23035233253032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44116974720000).

23035233253032 is an abundant number, since it is smaller than the sum of its proper divisors (65198716186968).

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

23035233253032 is a wasteful number, since it uses less digits than its factorization.

23035233253032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11662 (or 11655 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 36.

It can be divided in two parts, 2303523 and 3253032, that added together give a palindrome (5556555).

The spelling of 23035233253032 in words is "twenty-three trillion, thirty-five billion, two hundred thirty-three million, two hundred fifty-three thousand, thirty-two".