144426820608 has 792 divisors, whose sum is σ = 514410641472. Its totient is φ = 39665811456.

The previous prime is 144426820579. The next prime is 144426820633. The reversal of 144426820608 is 806028624441.

144426820608 is a `hidden beast` number, since 14 + 4 + 4 + 2 + 6 + 8 + 20 + 608 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1740082135 + ... + 1740082217.

Almost surely, 2^144426820608 is an apocalyptic number.

144426820608 is a gapful number since it is divisible by the number (18) 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 144426820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257205320736).

144426820608 is an abundant number, since it is smaller than the sum of its proper divisors (369983820864).

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

144426820608 is an frugal number, since it uses more digits than its factorization.

144426820608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 144426820608 in words is "one hundred forty-four billion, four hundred twenty-six million, eight hundred twenty thousand, six hundred eight".