23233011033232 has 160 divisors (see below), whose sum is σ = 60443512867584. Its totient is φ = 8354810880000.

The previous prime is 23233011033227. The next prime is 23233011033301.

23233011033232 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×23233011033232⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 23233011033232.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208168228 + ... + 208279804.

Almost surely, 2^{23233011033232} is an apocalyptic number.

23233011033232 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 23233011033232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30221756433792).

23233011033232 is an abundant number, since it is smaller than the sum of its proper divisors (37210501834352).

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

23233011033232 is a wasteful number, since it uses less digits than its factorization.

23233011033232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124617 (or 124611 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 2323301 and 1033232, that added together give a palindrome (3356533).

The spelling of 23233011033232 in words is "twenty-three trillion, two hundred thirty-three billion, eleven million, thirty-three thousand, two hundred thirty-two".