23033211233032 has 576 divisors, whose sum is σ = 61509520800000. Its totient is φ = 7982713589760.

The previous prime is 23033211232949. The next prime is 23033211233033.

23033211233032 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (23033211233033) by changing a digit.

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, 21957302844 + ... + 21957303892.

It is an arithmetic number, because the mean of its divisors is an integer number (106787362500).

Almost surely, 2^{23033211233032} is an apocalyptic number.

23033211233032 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 23033211233032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30754760400000).

23033211233032 is an abundant number, since it is smaller than the sum of its proper divisors (38476309566968).

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

23033211233032 is a wasteful number, since it uses less digits than its factorization.

23033211233032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2150 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, 2303321 and 1233032, that added together give a palindrome (3536353).

The spelling of 23033211233032 in words is "twenty-three trillion, thirty-three billion, two hundred eleven million, two hundred thirty-three thousand, thirty-two".