225074183095200 has 576 divisors, whose sum is σ = 788281434759168. Its totient is φ = 55670295859200.

The previous prime is 225074183095147. The next prime is 225074183095241. The reversal of 225074183095200 is 2590381470522.

It is a super-2 number, since 2×225074183095200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 225074183095200.

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, 183827437 + ... + 185047763.

It is an arithmetic number, because the mean of its divisors is an integer number (1368544157568).

Almost surely, 2^{225074183095200} is an apocalyptic number.

225074183095200 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 225074183095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394140717379584).

225074183095200 is an abundant number, since it is smaller than the sum of its proper divisors (563207251663968).

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

225074183095200 is a wasteful number, since it uses less digits than its factorization.

225074183095200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220485 (or 1220472 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 225074183095200 in words is "two hundred twenty-five trillion, seventy-four billion, one hundred eighty-three million, ninety-five thousand, two hundred".