144442636406464 has 84 divisors (see below), whose sum is σ = 326871589521960. Its totient is φ = 62801146101760.

The previous prime is 144442636406447. The next prime is 144442636406531. The reversal of 144442636406464 is 464604636244441.

It is a junction number, because it is equal to n+sod(n) for n = 144442636406399 and 144442636406408.

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 11 ways as a sum of consecutive naturals, for example, 193554049 + ... + 194298880.

It is an arithmetic number, because the mean of its divisors is an integer number (3891328446690).

Almost surely, 2^{144442636406464} is an apocalyptic number.

It is an amenable number.

144442636406464 is an abundant number, since it is smaller than the sum of its proper divisors (182428953115496).

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

144442636406464 is a wasteful number, since it uses less digits than its factorization.

144442636406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387852998 (or 387852965 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 58.

The spelling of 144442636406464 in words is "one hundred forty-four trillion, four hundred forty-two billion, six hundred thirty-six million, four hundred six thousand, four hundred sixty-four".