116180649 has 40 divisors (see below), whose sum is σ = 196775040. Its totient is φ = 67721184.

The previous prime is 116180627. The next prime is 116180651. The reversal of 116180649 is 946081611.

It is a happy number.

116180649 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 8 + 0 + 649 = 666.

It is not a de Polignac number, because 116180649 - 2⁹ = 116180137 is a prime.

It is a super-2 number, since 2×116180649² = 26995886404122402, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116180249) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17104 + ... + 22910.

It is an arithmetic number, because the mean of its divisors is an integer number (4919376).

Almost surely, 2^116180649 is an apocalyptic number.

116180649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

116180649 is a deficient number, since it is larger than the sum of its proper divisors (80594391).

116180649 is a wasteful number, since it uses less digits than its factorization.

116180649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 116180649 is about 10778.7127710131. The cubic root of 116180649 is about 487.9529328990.

It can be divided in two parts, 1161 and 80649, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 116180649 in words is "one hundred sixteen million, one hundred eighty thousand, six hundred forty-nine".