254845450164240 has 1440 divisors, whose sum is σ = 978648186507264. Its totient is φ = 59013740298240.

The previous prime is 254845450164223. The next prime is 254845450164301. The reversal of 254845450164240 is 42461054548452.

254845450164240 is a `hidden beast` number, since 2 + 5 + 4 + 8 + 4 + 5 + 450 + 164 + 24 + 0 = 666.

It is a super-3 number, since 3×254845450164240³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 92101715337 + ... + 92101718103.

Almost surely, 2^{254845450164240} is an apocalyptic number.

254845450164240 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 254845450164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489324093253632).

254845450164240 is an abundant number, since it is smaller than the sum of its proper divisors (723802736343024).

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

254845450164240 is a wasteful number, since it uses less digits than its factorization.

254845450164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 24576000, while the sum is 54.

The spelling of 254845450164240 in words is "two hundred fifty-four trillion, eight hundred forty-five billion, four hundred fifty million, one hundred sixty-four thousand, two hundred forty".