116101556120529 has 96 divisors (see below), whose sum is σ = 202208388415488. Its totient is φ = 62802058320000.

The previous prime is 116101556120521. The next prime is 116101556120551. The reversal of 116101556120529 is 925021655101611.

116101556120529 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 0 + 1 + 5 + 5 + 612 + 0 + 5 + 29 = 666.

It is not a de Polignac number, because 116101556120529 - 2³ = 116101556120521 is a prime.

It is a super-4 number, since 4×116101556120529⁴ (a number of 57 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116101556120521) 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 95 ways as a sum of consecutive naturals, for example, 12826264 + ... + 19917734.

It is an arithmetic number, because the mean of its divisors is an integer number (2106337379328).

Almost surely, 2^{116101556120529} is an apocalyptic number.

It is an amenable number.

116101556120529 is a deficient number, since it is larger than the sum of its proper divisors (86106832294959).

116101556120529 is a wasteful number, since it uses less digits than its factorization.

116101556120529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7091699 (or 7091696 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The spelling of 116101556120529 in words is "one hundred sixteen trillion, one hundred one billion, five hundred fifty-six million, one hundred twenty thousand, five hundred twenty-nine".