144081939456 has 1056 divisors, whose sum is σ = 546505767360. Its totient is φ = 37623398400.

The previous prime is 144081939437. The next prime is 144081939457. The reversal of 144081939456 is 654939180441.

144081939456 is a `hidden beast` number, since 1 + 4 + 408 + 193 + 9 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144081939457) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1426553806 + ... + 1426553906.

Almost surely, 2^144081939456 is an apocalyptic number.

144081939456 is a gapful number since it is divisible by the number (16) 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 144081939456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273252883680).

144081939456 is an abundant number, since it is smaller than the sum of its proper divisors (402423827904).

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

144081939456 is an equidigital number, since it uses as much as digits as its factorization.

144081939456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 144081939456 in words is "one hundred forty-four billion, eighty-one million, nine hundred thirty-nine thousand, four hundred fifty-six".