23443622634432 has 448 divisors, whose sum is σ = 83970606117888. Its totient is φ = 5620843008000.

The previous prime is 23443622634407. The next prime is 23443622634463.

It is a happy number.

23443622634432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22751182 + ... + 23759282.

It is an arithmetic number, because the mean of its divisors is an integer number (187434388656).

Almost surely, 2^{23443622634432} is an apocalyptic number.

23443622634432 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 23443622634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41985303058944).

23443622634432 is an abundant number, since it is smaller than the sum of its proper divisors (60526983483456).

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

23443622634432 is a wasteful number, since it uses less digits than its factorization.

23443622634432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008169 (or 1008137 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 48.

23443622634432 divided by its sum of digits (48) gives a palindrome (488408804884).

It can be divided in two parts, 2344362 and 2634432, that added together give a palindrome (4978794).

The spelling of 23443622634432 in words is "twenty-three trillion, four hundred forty-three billion, six hundred twenty-two million, six hundred thirty-four thousand, four hundred thirty-two".