225994953951360 has 1536 divisors, whose sum is σ = 902725138022400. Its totient is φ = 53364695408640.

The previous prime is 225994953951359. The next prime is 225994953951383. The reversal of 225994953951360 is 63159359499522.

It is a happy number.

225994953951360 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 9 + 4 + 9 + 539 + 51 + 36 + 0 = 666.

It is a super-2 number, since 2×225994953951360² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34434699439 + ... + 34434706001.

It is an arithmetic number, because the mean of its divisors is an integer number (587711678400).

Almost surely, 2^{225994953951360} is an apocalyptic number.

225994953951360 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 225994953951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451362569011200).

225994953951360 is an abundant number, since it is smaller than the sum of its proper divisors (676730184071040).

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

225994953951360 is a wasteful number, since it uses less digits than its factorization.

225994953951360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7039 (or 7010 counting only the distinct ones).

The product of its (nonzero) digits is 708588000, while the sum is 72.

The spelling of 225994953951360 in words is "two hundred twenty-five trillion, nine hundred ninety-four billion, nine hundred fifty-three million, nine hundred fifty-one thousand, three hundred sixty".