225329776489152 has 896 divisors, whose sum is σ = 731769817006080. Its totient is φ = 67682124840960.

The previous prime is 225329776489133. The next prime is 225329776489193. The reversal of 225329776489152 is 251984677923522.

225329776489152 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 2 + 97 + 7 + 6 + 489 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44295215953 + ... + 44295221039.

Almost surely, 2^{225329776489152} 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 225329776489152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365884908503040).

225329776489152 is an abundant number, since it is smaller than the sum of its proper divisors (506440040516928).

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

225329776489152 is a wasteful number, since it uses less digits than its factorization.

225329776489152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666 (or 5650 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 225329776489152 in words is "two hundred twenty-five trillion, three hundred twenty-nine billion, seven hundred seventy-six million, four hundred eighty-nine thousand, one hundred fifty-two".