225684351360 has 640 divisors, whose sum is σ = 919059372000. Its totient is φ = 52282589184.

The previous prime is 225684351329. The next prime is 225684351397. The reversal of 225684351360 is 63153486522.

225684351360 is a `hidden beast` number, since 2 + 2 + 56 + 84 + 3 + 513 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11446791 + ... + 11466489.

Almost surely, 2^225684351360 is an apocalyptic number.

225684351360 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 225684351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459529686000).

225684351360 is an abundant number, since it is smaller than the sum of its proper divisors (693375020640).

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

225684351360 is a wasteful number, since it uses less digits than its factorization.

225684351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19760 (or 19739 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 225684351360 in words is "two hundred twenty-five billion, six hundred eighty-four million, three hundred fifty-one thousand, three hundred sixty".