225702846433680 has 2560 divisors, whose sum is σ = 960196372070400. Its totient is φ = 42449942937600.

The previous prime is 225702846433633. The next prime is 225702846433741. The reversal of 225702846433680 is 86334648207522.

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 511 ways as a sum of consecutive naturals, for example, 313912164361 + ... + 313912165079.

It is an arithmetic number, because the mean of its divisors is an integer number (375076707840).

Almost surely, 2^{225702846433680} is an apocalyptic number.

225702846433680 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 225702846433680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480098186035200).

225702846433680 is an abundant number, since it is smaller than the sum of its proper divisors (734493525636720).

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

225702846433680 is a wasteful number, since it uses less digits than its factorization.

225702846433680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 60.

The spelling of 225702846433680 in words is "two hundred twenty-five trillion, seven hundred two billion, eight hundred forty-six million, four hundred thirty-three thousand, six hundred eighty".