254544000000000 has 560 divisors, whose sum is σ = 848588116229568. Its totient is φ = 67865600000000.

The previous prime is 254543999999999. The next prime is 254544000000019. The reversal of 254544000000000 is 445452.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 254543999999898 and 254543999999907.

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 39 ways as a sum of consecutive naturals, for example, 47999997349 + ... + 48000002651.

Almost surely, 2^{254544000000000} is an apocalyptic number.

254544000000000 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 254544000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424294058114784).

254544000000000 is an abundant number, since it is smaller than the sum of its proper divisors (594044116229568).

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

254544000000000 is an frugal number, since it uses more digits than its factorization.

254544000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

Adding to 254544000000000 its reverse (445452), we get a palindrome (254544000445452).

The spelling of 254544000000000 in words is "two hundred fifty-four trillion, five hundred forty-four billion", and thus it is an aban number.