144800814456 has 80 divisors (see below), whose sum is σ = 429433820640. Its totient is φ = 45427703040.

The previous prime is 144800814407. The next prime is 144800814479. The reversal of 144800814456 is 654418008441.

144800814456 is a `hidden beast` number, since 1 + 4 + 480 + 0 + 81 + 44 + 56 = 666.

144800814456 is digitally balanced in base 2, 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 (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6561280 + ... + 6583311.

It is an arithmetic number, because the mean of its divisors is an integer number (5367922758).

Almost surely, 2^144800814456 is an apocalyptic number.

It is an amenable number.

144800814456 is an abundant number, since it is smaller than the sum of its proper divisors (284633006184).

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

144800814456 is a wasteful number, since it uses less digits than its factorization.

144800814456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13144626 (or 13144613 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 144800814456 in words is "one hundred forty-four billion, eight hundred million, eight hundred fourteen thousand, four hundred fifty-six".