225651465216 has 132 divisors (see below), whose sum is σ = 659416109352. Its totient is φ = 74310672384.

The previous prime is 225651465209. The next prime is 225651465241. The reversal of 225651465216 is 612564156522.

225651465216 is a `hidden beast` number, since 2 + 2 + 56 + 514 + 65 + 21 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617430 + ... + 912426.

It is an arithmetic number, because the mean of its divisors is an integer number (4995576586).

Almost surely, 2^225651465216 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 225651465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329708054676).

225651465216 is an abundant number, since it is smaller than the sum of its proper divisors (433764644136).

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

225651465216 is a wasteful number, since it uses less digits than its factorization.

225651465216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295106 (or 295085 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 225651465216 in words is "two hundred twenty-five billion, six hundred fifty-one million, four hundred sixty-five thousand, two hundred sixteen".