225634276352 has 88 divisors (see below), whose sum is σ = 467130885960. Its totient is φ = 108803358720.

The previous prime is 225634276349. The next prime is 225634276369. The reversal of 225634276352 is 253672436522.

225634276352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 122063589376 + 103570686976 = 349376^2 + 321824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 225634276297 and 225634276306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29603102 + ... + 29610722.

Almost surely, 2^225634276352 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 225634276352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233565442980).

225634276352 is an abundant number, since it is smaller than the sum of its proper divisors (241496609608).

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

225634276352 is an equidigital number, since it uses as much as digits as its factorization.

225634276352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8667 (or 8649 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 47.

The spelling of 225634276352 in words is "two hundred twenty-five billion, six hundred thirty-four million, two hundred seventy-six thousand, three hundred fifty-two".