225154914432 has 256 divisors, whose sum is σ = 693534720000. Its totient is φ = 63389454336.

The previous prime is 225154914403. The next prime is 225154914463. The reversal of 225154914432 is 234419451522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176039169 + ... + 176040447.

It is an arithmetic number, because the mean of its divisors is an integer number (2709120000).

Almost surely, 2^225154914432 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 225154914432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346767360000).

225154914432 is an abundant number, since it is smaller than the sum of its proper divisors (468379805568).

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

225154914432 is a wasteful number, since it uses less digits than its factorization.

225154914432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2199 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The spelling of 225154914432 in words is "two hundred twenty-five billion, one hundred fifty-four million, nine hundred fourteen thousand, four hundred thirty-two".