23144202400 has 216 divisors, whose sum is σ = 62367812892. Its totient is φ = 8380416000.

The previous prime is 23144202397. The next prime is 23144202401. The reversal of 23144202400 is 420244132.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14186715664 + 8957486736 = 119108^2 + 94644^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (23144202401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36106080 + ... + 36106720.

Almost surely, 2^23144202400 is an apocalyptic number.

23144202400 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 23144202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31183906446).

23144202400 is an abundant number, since it is smaller than the sum of its proper divisors (39223610492).

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

23144202400 is a wasteful number, since it uses less digits than its factorization.

23144202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 23144202400 its reverse (420244132), we get a palindrome (23564446532).

The spelling of 23144202400 in words is "twenty-three billion, one hundred forty-four million, two hundred two thousand, four hundred".