254890745856 has 336 divisors, whose sum is σ = 770174659800. Its totient is φ = 81122033664.

The previous prime is 254890745839. The next prime is 254890745899. The reversal of 254890745856 is 658547098452.

254890745856 is a `hidden beast` number, since 2 + 5 + 48 + 9 + 0 + 7 + 4 + 585 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 253629075456 + 1261670400 = 503616^2 + 35520^2 .

It is a junction number, because it is equal to n+sod(n) for n = 254890745793 and 254890745802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207396250 + ... + 207397478.

Almost surely, 2^254890745856 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 254890745856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385087329900).

254890745856 is an abundant number, since it is smaller than the sum of its proper divisors (515283913944).

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

254890745856 is a wasteful number, since it uses less digits than its factorization.

254890745856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 254890745856 in words is "two hundred fifty-four billion, eight hundred ninety million, seven hundred forty-five thousand, eight hundred fifty-six".