225455439069000 has 1024 divisors, whose sum is σ = 931554931507200. Its totient is φ = 49356076032000.

The previous prime is 225455439068999. The next prime is 225455439069001. The reversal of 225455439069000 is 960934554522.

225455439069000 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 5 + 543 + 9 + 0 + 6 + 90 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (225455439068999) and next prime (225455439069001).

It is a super-2 number, since 2×225455439069000² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (225455439069001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 568124649 + ... + 568521351.

It is an arithmetic number, because the mean of its divisors is an integer number (909721612800).

Almost surely, 2^{225455439069000} is an apocalyptic number.

225455439069000 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 225455439069000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465777465753600).

225455439069000 is an abundant number, since it is smaller than the sum of its proper divisors (706099492438200).

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

225455439069000 is a wasteful number, since it uses less digits than its factorization.

225455439069000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396868 (or 396848 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 225455439069000 in words is "two hundred twenty-five trillion, four hundred fifty-five billion, four hundred thirty-nine million, sixty-nine thousand".