225434116128 has 192 divisors, whose sum is σ = 648574988544. Its totient is φ = 68138496000.

The previous prime is 225434116099. The next prime is 225434116151. The reversal of 225434116128 is 821611434522.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 80770413 + ... + 80773203.

It is an arithmetic number, because the mean of its divisors is an integer number (3377994732).

Almost surely, 2^225434116128 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 225434116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324287494272).

225434116128 is an abundant number, since it is smaller than the sum of its proper divisors (423140872416).

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

225434116128 is a wasteful number, since it uses less digits than its factorization.

225434116128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3931 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The spelling of 225434116128 in words is "two hundred twenty-five billion, four hundred thirty-four million, one hundred sixteen thousand, one hundred twenty-eight".