225336502268640 has 768 divisors, whose sum is σ = 932698503475200. Its totient is φ = 49714950168576.

The previous prime is 225336502268561. The next prime is 225336502268641. The reversal of 225336502268640 is 46862205633522.

225336502268640 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 36 + 502 + 2 + 68 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225336502268641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3163159102 + ... + 3163230338.

It is an arithmetic number, because the mean of its divisors is an integer number (1214451176400).

Almost surely, 2^{225336502268640} is an apocalyptic number.

225336502268640 is a gapful number since it is divisible by the number (20) 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 225336502268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466349251737600).

225336502268640 is an abundant number, since it is smaller than the sum of its proper divisors (707362001206560).

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

225336502268640 is a wasteful number, since it uses less digits than its factorization.

225336502268640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74904 (or 74890 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 225336502268640 in words is "two hundred twenty-five trillion, three hundred thirty-six billion, five hundred two million, two hundred sixty-eight thousand, six hundred forty".