225650647210800 has 1440 divisors, whose sum is σ = 890432475340800. Its totient is φ = 48569455872000.

The previous prime is 225650647210727. The next prime is 225650647210801. The reversal of 225650647210800 is 8012746056522.

225650647210800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 225650647210800.

It is not an unprimeable number, because it can be changed into a prime (225650647210801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 245539332741 + ... + 245539333659.

Almost surely, 2^{225650647210800} is an apocalyptic number.

225650647210800 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 225650647210800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445216237670400).

225650647210800 is an abundant number, since it is smaller than the sum of its proper divisors (664781828130000).

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

225650647210800 is a wasteful number, since it uses less digits than its factorization.

225650647210800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 225650647210800 in words is "two hundred twenty-five trillion, six hundred fifty billion, six hundred forty-seven million, two hundred ten thousand, eight hundred".