225914102568 has 256 divisors, whose sum is σ = 784194048000. Its totient is φ = 58543430400.

The previous prime is 225914102563. The next prime is 225914102591. The reversal of 225914102568 is 865201419522.

225914102568 is a `hidden beast` number, since 2 + 2 + 591 + 4 + 1 + 0 + 2 + 56 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (225914102563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7285978 + ... + 7316918.

It is an arithmetic number, because the mean of its divisors is an integer number (3063258000).

Almost surely, 2^225914102568 is an apocalyptic number.

225914102568 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 225914102568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392097024000).

225914102568 is an abundant number, since it is smaller than the sum of its proper divisors (558279945432).

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

225914102568 is a wasteful number, since it uses less digits than its factorization.

225914102568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31413 (or 31403 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 225914102568 in words is "two hundred twenty-five billion, nine hundred fourteen million, one hundred two thousand, five hundred sixty-eight".