1044768006675 has 144 divisors (see below), whose sum is σ = 2013626833920. Its totient is φ = 516155328000.

The previous prime is 1044768006671. The next prime is 1044768006701. The reversal of 1044768006675 is 5766008674401.

1044768006675 is a `hidden beast` number, since 10 + 447 + 68 + 0 + 0 + 66 + 75 = 666.

It is not a de Polignac number, because 1044768006675 - 2² = 1044768006671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1044768006671) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 297568170 + ... + 297571680.

It is an arithmetic number, because the mean of its divisors is an integer number (13983519680).

Almost surely, 2^{1044768006675} is an apocalyptic number.

1044768006675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1044768006675 is a deficient number, since it is larger than the sum of its proper divisors (968858827245).

1044768006675 is a wasteful number, since it uses less digits than its factorization.

1044768006675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1044768006675 in words is "one trillion, forty-four billion, seven hundred sixty-eight million, six thousand, six hundred seventy-five".