116416757601 has 21 divisors (see below), whose sum is σ = 174559102851. Its totient is φ = 77605030152.

The previous prime is 116416757581. The next prime is 116416757617. The reversal of 116416757601 is 106757614611.

The square root of 116416757601 is 341199.

It is a perfect power (a square), and thus also a powerful number.

116416757601 is a `hidden beast` number, since 1 + 1 + 64 + 16 + 7 + 576 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11230700625 + 105186056976 = 105975^2 + 324324^2 .

It is not a de Polignac number, because 116416757601 - 2²⁵ = 116383203169 is a prime.

It is a super-3 number, since 3×116416757601³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (116416757621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 9206055 + ... + 9218691.

It is an arithmetic number, because the mean of its divisors is an integer number (8312338231).

Almost surely, 2^116416757601 is an apocalyptic number.

116416757601 is the 341199-th square number.

116416757601 is the 170600-th centered octagonal number.

It is an amenable number.

116416757601 is a deficient number, since it is larger than the sum of its proper divisors (58142345250).

116416757601 is an frugal number, since it uses more digits than its factorization.

116416757601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25292 (or 12640 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 116416757601 in words is "one hundred sixteen billion, four hundred sixteen million, seven hundred fifty-seven thousand, six hundred one".