225264333553350 has 384 divisors, whose sum is σ = 690998195284992. Its totient is φ = 47292147302400.

The previous prime is 225264333553279. The next prime is 225264333553421. The reversal of 225264333553350 is 53355333462522.

225264333553350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225264333553279) and next prime (225264333553421).

It is a junction number, because it is equal to n+sod(n) for n = 225264333553293 and 225264333553302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3287008585 + ... + 3287077115.

It is an arithmetic number, because the mean of its divisors is an integer number (1799474466888).

Almost surely, 2^{225264333553350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225264333553350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345499097642496).

225264333553350 is an abundant number, since it is smaller than the sum of its proper divisors (465733861731642).

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

225264333553350 is a wasteful number, since it uses less digits than its factorization.

225264333553350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69760 (or 69755 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 51.

The spelling of 225264333553350 in words is "two hundred twenty-five trillion, two hundred sixty-four billion, three hundred thirty-three million, five hundred fifty-three thousand, three hundred fifty".