225308591589888 has 480 divisors, whose sum is σ = 673260978753792. Its totient is φ = 72496108339200.

The previous prime is 225308591589791. The next prime is 225308591589937. The reversal of 225308591589888 is 888985195803522.

225308591589888 is a `hidden beast` number, since 2 + 25 + 3 + 0 + 8 + 5 + 9 + 1 + 589 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×225308591589888² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8444519908 + ... + 8444546588.

Almost surely, 2^{225308591589888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225308591589888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336630489376896).

225308591589888 is an abundant number, since it is smaller than the sum of its proper divisors (447952387163904).

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

225308591589888 is a wasteful number, since it uses less digits than its factorization.

225308591589888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27316 (or 27297 counting only the distinct ones).

The product of its (nonzero) digits is 3981312000, while the sum is 81.

The spelling of 225308591589888 in words is "two hundred twenty-five trillion, three hundred eight billion, five hundred ninety-one million, five hundred eighty-nine thousand, eight hundred eighty-eight".