225661213512 has 144 divisors (see below), whose sum is σ = 711379740240. Its totient is φ = 64435476672.

The previous prime is 225661213489. The next prime is 225661213513. The reversal of 225661213512 is 215312166522.

225661213512 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 612 + 1 + 35 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (225661213513) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6060183 + ... + 6097305.

It is an arithmetic number, because the mean of its divisors is an integer number (4940137085).

Almost surely, 2^225661213512 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 225661213512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355689870120).

225661213512 is an abundant number, since it is smaller than the sum of its proper divisors (485718526728).

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

225661213512 is a wasteful number, since it uses less digits than its factorization.

225661213512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38872 (or 38858 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 225661213512 in words is "two hundred twenty-five billion, six hundred sixty-one million, two hundred thirteen thousand, five hundred twelve".