225734711328 has 240 divisors, whose sum is σ = 779227694784. Its totient is φ = 62752320000.

The previous prime is 225734711231. The next prime is 225734711383. The reversal of 225734711328 is 823117437522.

225734711328 is a `hidden beast` number, since 2 + 2 + 573 + 4 + 71 + 1 + 3 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 503203 + ... + 839453.

Almost surely, 2^225734711328 is an apocalyptic number.

225734711328 is a gapful number since it is divisible by the number (28) 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 225734711328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389613847392).

225734711328 is an abundant number, since it is smaller than the sum of its proper divisors (553492983456).

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

225734711328 is a wasteful number, since it uses less digits than its factorization.

225734711328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336317 (or 336300 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 225734711328 in words is "two hundred twenty-five billion, seven hundred thirty-four million, seven hundred eleven thousand, three hundred twenty-eight".