225338466651696 has 400 divisors, whose sum is σ = 724917496596480. Its totient is φ = 67254385121280.

The previous prime is 225338466651647. The next prime is 225338466651707. The reversal of 225338466651696 is 696156664833522.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37500525 + ... + 43092531.

Almost surely, 2^{225338466651696} 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 225338466651696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362458748298240).

225338466651696 is an abundant number, since it is smaller than the sum of its proper divisors (499579029944784).

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

225338466651696 is a wasteful number, since it uses less digits than its factorization.

225338466651696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592134 (or 5592119 counting only the distinct ones).

The product of its digits is 2015539200, while the sum is 72.

The spelling of 225338466651696 in words is "two hundred twenty-five trillion, three hundred thirty-eight billion, four hundred sixty-six million, six hundred fifty-one thousand, six hundred ninety-six".