225931564032 has 264 divisors, whose sum is σ = 627407596128. Its totient is φ = 72266219520.

The previous prime is 225931564013. The next prime is 225931564049. The reversal of 225931564032 is 230465139522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345989818 + ... + 345990470.

Almost surely, 2^225931564032 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 225931564032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313703798064).

225931564032 is an abundant number, since it is smaller than the sum of its proper divisors (401476032096).

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

225931564032 is an equidigital number, since it uses as much as digits as its factorization.

225931564032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 225931564032 in words is "two hundred twenty-five billion, nine hundred thirty-one million, five hundred sixty-four thousand, thirty-two".