225735745317012 has 144 divisors (see below), whose sum is σ = 674833028688000. Its totient is φ = 62251579918080.

The previous prime is 225735745316987. The next prime is 225735745317037. The reversal of 225735745317012 is 210713547537522.

225735745317012 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 3 + 5 + 7 + 453 + 170 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (225735745316987) and next prime (225735745317037).

It is a self number, because there is not a number n which added to its sum of digits gives 225735745317012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17324239 + ... + 27415337.

It is an arithmetic number, because the mean of its divisors is an integer number (4686340477000).

Almost surely, 2^{225735745317012} 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 225735745317012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337416514344000).

225735745317012 is an abundant number, since it is smaller than the sum of its proper divisors (449097283370988).

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

225735745317012 is a wasteful number, since it uses less digits than its factorization.

225735745317012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10094206 (or 10094201 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 225735745317012 in words is "two hundred twenty-five trillion, seven hundred thirty-five billion, seven hundred forty-five million, three hundred seventeen thousand, twelve".