116765601705 has 128 divisors (see below), whose sum is σ = 217096588800. Its totient is φ = 59492966400.

The previous prime is 116765601691. The next prime is 116765601707. The reversal of 116765601705 is 507106567611.

116765601705 is a `hidden beast` number, since 1 + 1 + 6 + 76 + 560 + 17 + 0 + 5 = 666.

It is not a de Polignac number, because 116765601705 - 2⁷ = 116765601577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (116765601707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110051875 + ... + 110052935.

It is an arithmetic number, because the mean of its divisors is an integer number (1696067100).

Almost surely, 2^116765601705 is an apocalyptic number.

116765601705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116765601705 is a deficient number, since it is larger than the sum of its proper divisors (100330987095).

116765601705 is a wasteful number, since it uses less digits than its factorization.

116765601705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 116765601705 in words is "one hundred sixteen billion, seven hundred sixty-five million, six hundred one thousand, seven hundred five".