2023133234144 has 96 divisors (see below), whose sum is σ = 4534835155200. Its totient is φ = 879472281600.

The previous prime is 2023133234123. The next prime is 2023133234149. The reversal of 2023133234144 is 4414323313202.

It is a super-2 number, since 2×2023133234144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2023133234144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023133234149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56338307 + ... + 56374205.

It is an arithmetic number, because the mean of its divisors is an integer number (47237866200).

Almost surely, 2^{2023133234144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023133234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267417577600).

2023133234144 is an abundant number, since it is smaller than the sum of its proper divisors (2511701921056).

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

2023133234144 is a wasteful number, since it uses less digits than its factorization.

2023133234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42904 (or 42896 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 2023133234144 its reverse (4414323313202), we get a palindrome (6437456547346).

The spelling of 2023133234144 in words is "two trillion, twenty-three billion, one hundred thirty-three million, two hundred thirty-four thousand, one hundred forty-four".