225640910304 has 192 divisors, whose sum is σ = 672910156800. Its totient is φ = 73527035904.

The previous prime is 225640910293. The next prime is 225640910309. The reversal of 225640910304 is 403019046522.

It is a happy number.

225640910304 is a `hidden beast` number, since 2 + 2 + 5 + 640 + 9 + 1 + 0 + 3 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225640910309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40970719 + ... + 40976225.

It is an arithmetic number, because the mean of its divisors is an integer number (3504740400).

Almost surely, 2^225640910304 is an apocalyptic number.

225640910304 is a gapful number since it is divisible by the number (24) 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 225640910304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336455078400).

225640910304 is an abundant number, since it is smaller than the sum of its proper divisors (447269246496).

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

225640910304 is a wasteful number, since it uses less digits than its factorization.

225640910304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 225640910304 its reverse (403019046522), we get a palindrome (628659956826).

The spelling of 225640910304 in words is "two hundred twenty-five billion, six hundred forty million, nine hundred ten thousand, three hundred four".