225626202243567 has 16 divisors (see below), whose sum is σ = 340567852445280. Its totient is φ = 147579402724416.

The previous prime is 225626202243457. The next prime is 225626202243647. The reversal of 225626202243567 is 765342202626522.

225626202243567 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 2 + 62 + 0 + 224 + 356 + 7 = 666.

225626202243567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225626202243567 - 2³⁰ = 225625128501743 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225626202243067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78835149598 + ... + 78835152459.

It is an arithmetic number, because the mean of its divisors is an integer number (21285490777830).

Almost surely, 2^{225626202243567} is an apocalyptic number.

225626202243567 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

225626202243567 is a deficient number, since it is larger than the sum of its proper divisors (114941650201713).

225626202243567 is a wasteful number, since it uses less digits than its factorization.

225626202243567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157670302119 (or 157670302113 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 225626202243567 in words is "two hundred twenty-five trillion, six hundred twenty-six billion, two hundred two million, two hundred forty-three thousand, five hundred sixty-seven".