225847828147200 has 1056 divisors, whose sum is σ = 932392102514688. Its totient is φ = 47018409984000.

The previous prime is 225847828147181. The next prime is 225847828147307. The reversal of 225847828147200 is 2741828748522.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282916620 + ... + 283713780.

Almost surely, 2^{225847828147200} is an apocalyptic number.

225847828147200 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 225847828147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466196051257344).

225847828147200 is an abundant number, since it is smaller than the sum of its proper divisors (706544274367488).

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

225847828147200 is a wasteful number, since it uses less digits than its factorization.

225847828147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797249 (or 797226 counting only the distinct ones).

The product of its (nonzero) digits is 32112640, while the sum is 60.

The spelling of 225847828147200 in words is "two hundred twenty-five trillion, eight hundred forty-seven billion, eight hundred twenty-eight million, one hundred forty-seven thousand, two hundred".