225723646416 has 80 divisors (see below), whose sum is σ = 592412083200. Its totient is φ = 74044401024.

The previous prime is 225723646399. The next prime is 225723646427. The reversal of 225723646416 is 614646327522.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3242665 + ... + 3311543.

It is an arithmetic number, because the mean of its divisors is an integer number (7405151040).

Almost surely, 2^225723646416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225723646416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296206041600).

225723646416 is an abundant number, since it is smaller than the sum of its proper divisors (366688436784).

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

225723646416 is a wasteful number, since it uses less digits than its factorization.

225723646416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69976 (or 69970 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The spelling of 225723646416 in words is "two hundred twenty-five billion, seven hundred twenty-three million, six hundred forty-six thousand, four hundred sixteen".