254426112000 has 672 divisors, whose sum is σ = 966174973920. Its totient is φ = 64231833600.

The previous prime is 254426111983. The next prime is 254426112013. The reversal of 254426112000 is 211624452.

254426112000 is a `hidden beast` number, since 2 + 5 + 4 + 42 + 611 + 2 + 0 + 0 + 0 = 666.

254426112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 175103274 + ... + 175104726.

Almost surely, 2^254426112000 is an apocalyptic number.

254426112000 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 254426112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483087486960).

254426112000 is an abundant number, since it is smaller than the sum of its proper divisors (711748861920).

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

254426112000 is a wasteful number, since it uses less digits than its factorization.

254426112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 254426112000 its reverse (211624452), we get a palindrome (254637736452).

The spelling of 254426112000 in words is "two hundred fifty-four billion, four hundred twenty-six million, one hundred twelve thousand".