2023144323200 has 1536 divisors, whose sum is σ = 7249441006080. Its totient is φ = 536739840000.

The previous prime is 2023144323163. The next prime is 2023144323257. The reversal of 2023144323200 is 23234413202.

It is a super-2 number, since 2×2023144323200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2023144323200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2886082850 + ... + 2886083550.

It is an arithmetic number, because the mean of its divisors is an integer number (4719688155).

Almost surely, 2^{2023144323200} is an apocalyptic number.

2023144323200 is a gapful number since it is divisible by the number (20) 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 2023144323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624720503040).

2023144323200 is an abundant number, since it is smaller than the sum of its proper divisors (5226296682880).

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

2023144323200 is a wasteful number, since it uses less digits than its factorization.

2023144323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 2023144323200 its reverse (23234413202), we get a palindrome (2046378736402).

The spelling of 2023144323200 in words is "two trillion, twenty-three billion, one hundred forty-four million, three hundred twenty-three thousand, two hundred".