254413327168 has 224 divisors, whose sum is σ = 690641199360. Its totient is φ = 89769738240.

The previous prime is 254413327117. The next prime is 254413327171. The reversal of 254413327168 is 861723314452.

254413327168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×254413327168³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3357928 + ... + 3432856.

It is an arithmetic number, because the mean of its divisors is an integer number (3083219640).

Almost surely, 2^254413327168 is an apocalyptic number.

254413327168 is a gapful number since it is divisible by the number (28) 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 254413327168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345320599680).

254413327168 is an abundant number, since it is smaller than the sum of its proper divisors (436227872192).

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

254413327168 is a wasteful number, since it uses less digits than its factorization.

254413327168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75025 (or 75015 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

It can be divided in two parts, 254413 and 327168, that added together give a triangular number (581581 = T₁₀₇₈).

The spelling of 254413327168 in words is "two hundred fifty-four billion, four hundred thirteen million, three hundred twenty-seven thousand, one hundred sixty-eight".