225237172608000 has 2112 divisors, whose sum is σ = 1019365990156800. Its totient is φ = 48772465459200.

The previous prime is 225237172607977. The next prime is 225237172608083. The reversal of 225237172608000 is 806271732522.

225237172608000 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 37 + 1 + 7 + 2 + 608 + 0 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 3217500999 + ... + 3217571001.

It is an arithmetic number, because the mean of its divisors is an integer number (482654351400).

Almost surely, 2^{225237172608000} is an apocalyptic number.

225237172608000 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 225237172608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509682995078400).

225237172608000 is an abundant number, since it is smaller than the sum of its proper divisors (794128817548800).

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

225237172608000 is a wasteful number, since it uses less digits than its factorization.

225237172608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70080 (or 70039 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 225237172608000 in words is "two hundred twenty-five trillion, two hundred thirty-seven billion, one hundred seventy-two million, six hundred eight thousand".