10744144103677 has 16 divisors (see below), whose sum is σ = 11474172864000. Its totient is φ = 10038143344320.

The previous prime is 10744144103639. The next prime is 10744144103687. The reversal of 10744144103677 is 77630144144701.

It is a cyclic number.

It is not a de Polignac number, because 10744144103677 - 2¹⁵ = 10744144070909 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10744144103677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10744144103687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9865138 + ... + 10899964.

It is an arithmetic number, because the mean of its divisors is an integer number (717135804000).

Almost surely, 2^{10744144103677} is an apocalyptic number.

It is an amenable number.

10744144103677 is a deficient number, since it is larger than the sum of its proper divisors (730028760323).

10744144103677 is a wasteful number, since it uses less digits than its factorization.

10744144103677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046436.

The product of its (nonzero) digits is 1580544, while the sum is 49.

The spelling of 10744144103677 in words is "ten trillion, seven hundred forty-four billion, one hundred forty-four million, one hundred three thousand, six hundred seventy-seven".