116463514401 has 24 divisors (see below), whose sum is σ = 184135403816. Its totient is φ = 70494935040.

The previous prime is 116463514393. The next prime is 116463514451. The reversal of 116463514401 is 104415364611.

116463514401 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 635 + 14 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24071832801 + 92391681600 = 155151^2 + 303960^2 .

It is not a de Polignac number, because 116463514401 - 2³ = 116463514393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116463514451) 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 23 ways as a sum of consecutive naturals, for example, 8152000 + ... + 8166273.

Almost surely, 2^116463514401 is an apocalyptic number.

It is an amenable number.

116463514401 is a deficient number, since it is larger than the sum of its proper divisors (67671889415).

116463514401 is a wasteful number, since it uses less digits than its factorization.

116463514401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16318353 (or 16318350 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 116463514401 in words is "one hundred sixteen billion, four hundred sixty-three million, five hundred fourteen thousand, four hundred one".