116778309201 has 20 divisors (see below), whose sum is σ = 174895106100. Its totient is φ = 77652050976.

The previous prime is 116778309199. The next prime is 116778309217. The reversal of 116778309201 is 102903877611.

116778309201 is a `hidden beast` number, since 11 + 67 + 78 + 309 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25848922176 + 90929387025 = 160776^2 + 301545^2 .

It is not a de Polignac number, because 116778309201 - 2¹ = 116778309199 is a prime.

It is a super-2 number, since 2×116778309201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116778309251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1821586 + ... + 1884603.

It is an arithmetic number, because the mean of its divisors is an integer number (8744755305).

Almost surely, 2^116778309201 is an apocalyptic number.

It is an amenable number.

116778309201 is a deficient number, since it is larger than the sum of its proper divisors (58116796899).

116778309201 is an equidigital number, since it uses as much as digits as its factorization.

116778309201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706590 (or 3706581 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 116778309201 in words is "one hundred sixteen billion, seven hundred seventy-eight million, three hundred nine thousand, two hundred one".