225552621168 has 320 divisors, whose sum is σ = 770536396800. Its totient is φ = 61805721600.

The previous prime is 225552621121. The next prime is 225552621181. The reversal of 225552621168 is 861126255522.

225552621168 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 5 + 2 + 621 + 16 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13233580 + ... + 13250612.

It is an arithmetic number, because the mean of its divisors is an integer number (2407926240).

Almost surely, 2^225552621168 is an apocalyptic number.

225552621168 is a gapful number since it is divisible by the number (28) 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 225552621168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385268198400).

225552621168 is an abundant number, since it is smaller than the sum of its proper divisors (544983775632).

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

225552621168 is a wasteful number, since it uses less digits than its factorization.

225552621168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17237 (or 17225 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 225552621168 in words is "two hundred twenty-five billion, five hundred fifty-two million, six hundred twenty-one thousand, one hundred sixty-eight".