23242134400000 has 264 divisors, whose sum is σ = 58492159855920. Its totient is φ = 9229793280000.

The previous prime is 23242134399997. The next prime is 23242134400013. The reversal of 23242134400000 is 443124232.

It is a happy number.

It is a super-2 number, since 2×23242134400000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444773874 + ... + 444826126.

Almost surely, 2^{23242134400000} is an apocalyptic number.

23242134400000 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 23242134400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29246079927960).

23242134400000 is an abundant number, since it is smaller than the sum of its proper divisors (35250025455920).

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

23242134400000 is an frugal number, since it uses more digits than its factorization.

23242134400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52437 (or 52399 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 23242134400000 its reverse (443124232), we get a palindrome (23242577524232).

The spelling of 23242134400000 in words is "twenty-three trillion, two hundred forty-two billion, one hundred thirty-four million, four hundred thousand".