225012602434320 has 80 divisors (see below), whose sum is σ = 775043408392320. Its totient is φ = 60003360648576.

The previous prime is 225012602434283. The next prime is 225012602434369. The reversal of 225012602434320 is 23434206210522.

225012602434320 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 1 + 2 + 602 + 4 + 3 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 52086248404 + ... + 52086252723.

It is an arithmetic number, because the mean of its divisors is an integer number (9688042604904).

Almost surely, 2^{225012602434320} is an apocalyptic number.

225012602434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225012602434320 is an abundant number, since it is smaller than the sum of its proper divisors (550030805958000).

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

225012602434320 is a wasteful number, since it uses less digits than its factorization.

225012602434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104172501149 (or 104172501137 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 225012602434320 its reverse (23434206210522), we get a palindrome (248446808644842).

The spelling of 225012602434320 in words is "two hundred twenty-five trillion, twelve billion, six hundred two million, four hundred thirty-four thousand, three hundred twenty".