225304063488 has 840 divisors, whose sum is σ = 799478330112. Its totient is φ = 63207309312.

The previous prime is 225304063463. The next prime is 225304063507. The reversal of 225304063488 is 884360403522.

225304063488 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 0 + 4 + 0 + 634 + 8 + 8 = 666.

It is a super-2 number, since 2×225304063488² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1774047681 + ... + 1774047807.

Almost surely, 2^225304063488 is an apocalyptic number.

225304063488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225304063488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399739165056).

225304063488 is an abundant number, since it is smaller than the sum of its proper divisors (574174266624).

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

225304063488 is an frugal number, since it uses more digits than its factorization.

225304063488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 225304063488 in words is "two hundred twenty-five billion, three hundred four million, sixty-three thousand, four hundred eighty-eight".