225331503642 has 128 divisors (see below), whose sum is σ = 591552921600. Its totient is φ = 62216942400.

The previous prime is 225331503629. The next prime is 225331503659. The reversal of 225331503642 is 246305133522.

225331503642 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 3 + 1 + 5 + 0 + 3 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225331503597 and 225331503606.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8646592 + ... + 8672612.

It is an arithmetic number, because the mean of its divisors is an integer number (4621507200).

Almost surely, 2^225331503642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225331503642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295776460800).

225331503642 is an abundant number, since it is smaller than the sum of its proper divisors (366221417958).

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

225331503642 is a wasteful number, since it uses less digits than its factorization.

225331503642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26809 (or 26803 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 225331503642 in words is "two hundred twenty-five billion, three hundred thirty-one million, five hundred three thousand, six hundred forty-two".