117659545956711 has 36 divisors (see below), whose sum is σ = 188733339050256. Its totient is φ = 70573673237760.

The previous prime is 117659545956661. The next prime is 117659545956713.

117659545956711 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 5 + 9 + 5 + 4 + 59 + 567 + 1 + 1 = 666.

117659545956711 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 117659545956711 - 2⁷ = 117659545956583 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 117659545956711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117659545956713) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 556820451 + ... + 557031716.

It is an arithmetic number, because the mean of its divisors is an integer number (5242592751396).

Almost surely, 2^{117659545956711} is an apocalyptic number.

117659545956711 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

117659545956711 is a deficient number, since it is larger than the sum of its proper divisors (71073793093545).

117659545956711 is a wasteful number, since it uses less digits than its factorization.

117659545956711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113852292 (or 1113852278 counting only the distinct ones).

The product of its digits is 357210000, while the sum is 72.

The spelling of 117659545956711 in words is "one hundred seventeen trillion, six hundred fifty-nine billion, five hundred forty-five million, nine hundred fifty-six thousand, seven hundred eleven".