254413005345 has 48 divisors (see below), whose sum is σ = 467023819392. Its totient is φ = 127850342400.

The previous prime is 254413005323. The next prime is 254413005409. The reversal of 254413005345 is 543500314452.

254413005345 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 1 + 300 + 5 + 345 = 666.

It is not a de Polignac number, because 254413005345 - 2¹⁵ = 254412972577 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 1765056 + ... + 1903745.

It is an arithmetic number, because the mean of its divisors is an integer number (9729662904).

Almost surely, 2^254413005345 is an apocalyptic number.

It is an amenable number.

254413005345 is a deficient number, since it is larger than the sum of its proper divisors (212610814047).

254413005345 is a wasteful number, since it uses less digits than its factorization.

254413005345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668902 (or 3668899 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 254413005345 its reverse (543500314452), we get a palindrome (797913319797).

The spelling of 254413005345 in words is "two hundred fifty-four billion, four hundred thirteen million, five thousand, three hundred forty-five".