116677205505 has 24 divisors (see below), whose sum is σ = 231131988672. Its totient is φ = 53338150944.

The previous prime is 116677205501. The next prime is 116677205531. The reversal of 116677205505 is 505502776611.

116677205505 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 77 + 20 + 550 + 5 = 666.

It is not a de Polignac number, because 116677205505 - 2² = 116677205501 is a prime.

It is a super-2 number, since 2×116677205505² (a number of 23 digits) contains 22 as substring.

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 (116677205501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185201599 + ... + 185202228.

It is an arithmetic number, because the mean of its divisors is an integer number (9630499528).

Almost surely, 2^116677205505 is an apocalyptic number.

116677205505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116677205505 is a deficient number, since it is larger than the sum of its proper divisors (114454783167).

116677205505 is a wasteful number, since it uses less digits than its factorization.

116677205505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370403845 (or 370403842 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 116677205505 in words is "one hundred sixteen billion, six hundred seventy-seven million, two hundred five thousand, five hundred five".