225250071336360 has 1024 divisors, whose sum is σ = 914158199808000. Its totient is φ = 48189123624960.

The previous prime is 225250071336337. The next prime is 225250071336443. The reversal of 225250071336360 is 63633170052522.

225250071336360 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 5 + 0 + 0 + 7 + 1 + 3 + 3 + 636 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8178704190 + ... + 8178731730.

It is an arithmetic number, because the mean of its divisors is an integer number (892732617000).

Almost surely, 2^{225250071336360} is an apocalyptic number.

225250071336360 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 225250071336360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457079099904000).

225250071336360 is an abundant number, since it is smaller than the sum of its proper divisors (688908128471640).

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

225250071336360 is a wasteful number, since it uses less digits than its factorization.

225250071336360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28271 (or 28261 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 225250071336360 in words is "two hundred twenty-five trillion, two hundred fifty billion, seventy-one million, three hundred thirty-six thousand, three hundred sixty".