225347556000 has 384 divisors, whose sum is σ = 870927482880. Its totient is φ = 49845888000.

The previous prime is 225347555963. The next prime is 225347556043. The reversal of 225347556000 is 655743522.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 225347556000.

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, 2560731 + ... + 2647269.

It is an arithmetic number, because the mean of its divisors is an integer number (2268040320).

Almost surely, 2^225347556000 is an apocalyptic number.

225347556000 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 225347556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435463741440).

225347556000 is an abundant number, since it is smaller than the sum of its proper divisors (645579926880).

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

225347556000 is a wasteful number, since it uses less digits than its factorization.

225347556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86605 (or 86587 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The spelling of 225347556000 in words is "two hundred twenty-five billion, three hundred forty-seven million, five hundred fifty-six thousand".