225202554144 has 72 divisors (see below), whose sum is σ = 640524060540. Its totient is φ = 75055292928.

The previous prime is 225202554121. The next prime is 225202554191. The reversal of 225202554144 is 441455202522.

225202554144 is a `hidden beast` number, since 2 + 2 + 52 + 0 + 25 + 541 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 189486090000 + 35716464144 = 435300^2 + 188988^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 225202554099 and 225202554108.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1802634 + ... + 1923510.

Almost surely, 2^225202554144 is an apocalyptic number.

225202554144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225202554144 is an abundant number, since it is smaller than the sum of its proper divisors (415321506396).

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

225202554144 is a wasteful number, since it uses less digits than its factorization.

225202554144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127362 (or 127351 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 225202554144 its reverse (441455202522), we get a palindrome (666657756666).

The spelling of 225202554144 in words is "two hundred twenty-five billion, two hundred two million, five hundred fifty-four thousand, one hundred forty-four".