116164116 has 18 divisors (see below), whose sum is σ = 293637162. Its totient is φ = 38721360.

The previous prime is 116164091. The next prime is 116164117. The reversal of 116164116 is 611461611.

It is a happy number.

116164116 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 641 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112148100 + 4016016 = 10590^2 + 2004^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×116164116² = 26988203692122912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 116164116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116164117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1613355 + ... + 1613426.

Almost surely, 2^116164116 is an apocalyptic number.

It is an amenable number.

116164116 is an abundant number, since it is smaller than the sum of its proper divisors (177473046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116164116 is a wasteful number, since it uses less digits than its factorization.

116164116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226791 (or 3226786 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 116164116 is about 10777.9458154140. The cubic root of 116164116 is about 487.9297858758.

The spelling of 116164116 in words is "one hundred sixteen million, one hundred sixty-four thousand, one hundred sixteen".