23145444454132 has 216 divisors, whose sum is σ = 58933060462080. Its totient is φ = 7834384696320.

The previous prime is 23145444454103. The next prime is 23145444454133.

23145444454132 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23145444454133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4325869 + ... + 8062507.

It is an arithmetic number, because the mean of its divisors is an integer number (272838242880).

Almost surely, 2^{23145444454132} is an apocalyptic number.

23145444454132 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 23145444454132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29466530231040).

23145444454132 is an abundant number, since it is smaller than the sum of its proper divisors (35787616007948).

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

23145444454132 is a wasteful number, since it uses less digits than its factorization.

23145444454132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736711 (or 3736689 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 2314544 and 4454132, that added together give a palindrome (6768676).

The spelling of 23145444454132 in words is "twenty-three trillion, one hundred forty-five billion, four hundred forty-four million, four hundred fifty-four thousand, one hundred thirty-two".