225544134816 has 576 divisors, whose sum is σ = 911845299456. Its totient is φ = 50894438400.

The previous prime is 225544134793. The next prime is 225544134821. The reversal of 225544134816 is 618431445522.

225544134816 is a `hidden beast` number, since 2 + 2 + 554 + 4 + 13 + 4 + 81 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4877886 + ... + 4923906.

It is an arithmetic number, because the mean of its divisors is an integer number (1583064756).

Almost surely, 2^225544134816 is an apocalyptic number.

225544134816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225544134816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455922649728).

225544134816 is an abundant number, since it is smaller than the sum of its proper divisors (686301164640).

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

225544134816 is a wasteful number, since it uses less digits than its factorization.

225544134816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46085 (or 46074 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 225544134816 in words is "two hundred twenty-five billion, five hundred forty-four million, one hundred thirty-four thousand, eight hundred sixteen".