254928218112 has 240 divisors, whose sum is σ = 806251626180. Its totient is φ = 79976595456.

The previous prime is 254928218099. The next prime is 254928218131. The reversal of 254928218112 is 211812829452.

254928218112 is a `hidden beast` number, since 2 + 5 + 492 + 82 + 1 + 81 + 1 + 2 = 666.

254928218112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 243388302336 + 11539915776 = 493344^2 + 107424^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2774898 + ... + 2865294.

Almost surely, 2^254928218112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254928218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403125813090).

254928218112 is an abundant number, since it is smaller than the sum of its proper divisors (551323408068).

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

254928218112 is an equidigital number, since it uses as much as digits as its factorization.

254928218112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90448 (or 90419 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 254928218112 in words is "two hundred fifty-four billion, nine hundred twenty-eight million, two hundred eighteen thousand, one hundred twelve".