23213433431232 has 672 divisors, whose sum is σ = 76128214503744. Its totient is φ = 6700548096000.

The previous prime is 23213433431231. The next prime is 23213433431249.

23213433431232 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 3 + 4 + 334 + 312 + 3 + 2 = 666.

23213433431232 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23213433431231) 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, 2344549482 + ... + 2344559382.

Almost surely, 2^{23213433431232} is an apocalyptic number.

23213433431232 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 23213433431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38064107251872).

23213433431232 is an abundant number, since it is smaller than the sum of its proper divisors (52914781072512).

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

23213433431232 is a wasteful number, since it uses less digits than its factorization.

23213433431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10177 (or 10164 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

It can be divided in two parts, 2321343 and 3431232, that added together give a palindrome (5752575).

The spelling of 23213433431232 in words is "twenty-three trillion, two hundred thirteen billion, four hundred thirty-three million, four hundred thirty-one thousand, two hundred thirty-two".