117766667711 has 64 divisors (see below), whose sum is σ = 156816138240. Its totient is φ = 85672080000.

The previous prime is 117766667699. The next prime is 117766667737.

117766667711 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 117766667711 - 2²² = 117762473407 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117766667761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33540446 + ... + 33543956.

It is an arithmetic number, because the mean of its divisors is an integer number (2450252160).

Almost surely, 2^117766667711 is an apocalyptic number.

117766667711 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

117766667711 is a deficient number, since it is larger than the sum of its proper divisors (39049470529).

117766667711 is a wasteful number, since it uses less digits than its factorization.

117766667711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876.

The product of its digits is 3111696, while the sum is 56.

The spelling of 117766667711 in words is "one hundred seventeen billion, seven hundred sixty-six million, six hundred sixty-seven thousand, seven hundred eleven".