1117081668857 has 32 divisors (see below), whose sum is σ = 1395767116800. Its totient is φ = 868553542080.

The previous prime is 1117081668847. The next prime is 1117081668869. The reversal of 1117081668857 is 7588661807111.

It is a happy number.

It is not a de Polignac number, because 1117081668857 - 2⁸ = 1117081668601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1117081668796 and 1117081668805.

It is not an unprimeable number, because it can be changed into a prime (1117081668847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121987523 + ... + 121996679.

It is an arithmetic number, because the mean of its divisors is an integer number (43617722400).

Almost surely, 2^{1117081668857} is an apocalyptic number.

It is an amenable number.

1117081668857 is a deficient number, since it is larger than the sum of its proper divisors (278685447943).

1117081668857 is a wasteful number, since it uses less digits than its factorization.

1117081668857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12461.

The product of its (nonzero) digits is 4515840, while the sum is 59.

The spelling of 1117081668857 in words is "one trillion, one hundred seventeen billion, eighty-one million, six hundred sixty-eight thousand, eight hundred fifty-seven".