225523910016 has 256 divisors, whose sum is σ = 695418048000. Its totient is φ = 71816177664.

The previous prime is 225523909957. The next prime is 225523910033. The reversal of 225523910016 is 610019325522.

It is a happy number.

225523910016 is a `hidden beast` number, since 2 + 2 + 552 + 3 + 91 + 0 + 0 + 16 = 666.

It is a super-2 number, since 2×225523910016² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96417775 + ... + 96420113.

It is an arithmetic number, because the mean of its divisors is an integer number (2716476750).

Almost surely, 2^225523910016 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 225523910016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347709024000).

225523910016 is an abundant number, since it is smaller than the sum of its proper divisors (469894137984).

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

225523910016 is a wasteful number, since it uses less digits than its factorization.

225523910016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 225523910016 in words is "two hundred twenty-five billion, five hundred twenty-three million, nine hundred ten thousand, sixteen".