225311840196480 has 1024 divisors, whose sum is σ = 822911063040000. Its totient is φ = 58236728868864.

The previous prime is 225311840196451. The next prime is 225311840196481. The reversal of 225311840196480 is 84691048113522.

225311840196480 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 118 + 40 + 1 + 9 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225311840196481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35837731897 + ... + 35837738183.

It is an arithmetic number, because the mean of its divisors is an integer number (803624085000).

Almost surely, 2^{225311840196480} is an apocalyptic number.

225311840196480 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 225311840196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411455531520000).

225311840196480 is an abundant number, since it is smaller than the sum of its proper divisors (597599222843520).

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

225311840196480 is a wasteful number, since it uses less digits than its factorization.

225311840196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 225311840196480 in words is "two hundred twenty-five trillion, three hundred eleven billion, eight hundred forty million, one hundred ninety-six thousand, four hundred eighty".