225542114230400 has 192 divisors, whose sum is σ = 609790235614560. Its totient is φ = 81748159488000.

The previous prime is 225542114230399. The next prime is 225542114230421. The reversal of 225542114230400 is 4032411245522.

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, 370820 + ... + 21241980.

Almost surely, 2^{225542114230400} is an apocalyptic number.

225542114230400 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 225542114230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304895117807280).

225542114230400 is an abundant number, since it is smaller than the sum of its proper divisors (384248121384160).

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

225542114230400 is a wasteful number, since it uses less digits than its factorization.

225542114230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20871503 (or 20871486 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 225542114230400 its reverse (4032411245522), we get a palindrome (229574525475922).

The spelling of 225542114230400 in words is "two hundred twenty-five trillion, five hundred forty-two billion, one hundred fourteen million, two hundred thirty thousand, four hundred".