225343198080 has 3072 divisors, whose sum is σ = 1174076467200. Its totient is φ = 38539100160.

The previous prime is 225343198057. The next prime is 225343198111. The reversal of 225343198080 is 80891343522.

225343198080 is a `hidden beast` number, since 2 + 2 + 53 + 431 + 98 + 0 + 80 = 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 383 ways as a sum of consecutive naturals, for example, 11860168311 + ... + 11860168329.

It is an arithmetic number, because the mean of its divisors is an integer number (382186350).

Almost surely, 2^225343198080 is an apocalyptic number.

225343198080 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 225343198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587038233600).

225343198080 is an abundant number, since it is smaller than the sum of its proper divisors (948733269120).

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

225343198080 is a wasteful number, since it uses less digits than its factorization.

225343198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 225343198080 in words is "two hundred twenty-five billion, three hundred forty-three million, one hundred ninety-eight thousand, eighty".