225625696992 has 480 divisors, whose sum is σ = 702030732480. Its totient is φ = 70989004800.

The previous prime is 225625696973. The next prime is 225625697041. The reversal of 225625696992 is 299696526522.

225625696992 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 2 + 569 + 69 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 857892253 + ... + 857892515.

It is an arithmetic number, because the mean of its divisors is an integer number (1462564026).

Almost surely, 2^225625696992 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 225625696992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351015366240).

225625696992 is an abundant number, since it is smaller than the sum of its proper divisors (476405035488).

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

225625696992 is a wasteful number, since it uses less digits than its factorization.

225625696992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 511 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 225625696992 in words is "two hundred twenty-five billion, six hundred twenty-five million, six hundred ninety-six thousand, nine hundred ninety-two".