225126742752 has 144 divisors (see below), whose sum is σ = 665683304832. Its totient is φ = 72091054080.

The previous prime is 225126742747. The next prime is 225126742781. The reversal of 225126742752 is 257247621522.

225126742752 is a `hidden beast` number, since 2 + 2 + 512 + 67 + 4 + 2 + 75 + 2 = 666.

225126742752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 225126742698 and 225126742707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1131108 + ... + 1315164.

It is an arithmetic number, because the mean of its divisors is an integer number (4622800728).

Almost surely, 2^225126742752 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 225126742752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332841652416).

225126742752 is an abundant number, since it is smaller than the sum of its proper divisors (440556562080).

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

225126742752 is a wasteful number, since it uses less digits than its factorization.

225126742752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184241 (or 184230 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The spelling of 225126742752 in words is "two hundred twenty-five billion, one hundred twenty-six million, seven hundred forty-two thousand, seven hundred fifty-two".