114557811201 has 6 divisors (see below), whose sum is σ = 165472393970. Its totient is φ = 76371874128.

The previous prime is 114557811187. The next prime is 114557811239. The reversal of 114557811201 is 102118755411.

It is a happy number.

114557811201 is a `hidden beast` number, since 1 + 1 + 4 + 557 + 81 + 1 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107699486976 + 6858324225 = 328176^2 + 82815^2 .

It is not a de Polignac number, because 114557811201 - 2⁵ = 114557811169 is a prime.

It is a super-3 number, since 3×114557811201³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114557811241) 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 5 ways as a sum of consecutive naturals, for example, 6364322836 + ... + 6364322853.

Almost surely, 2^114557811201 is an apocalyptic number.

It is an amenable number.

114557811201 is a deficient number, since it is larger than the sum of its proper divisors (50914582769).

114557811201 is a wasteful number, since it uses less digits than its factorization.

114557811201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12728645695 (or 12728645692 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 36.

The spelling of 114557811201 in words is "one hundred fourteen billion, five hundred fifty-seven million, eight hundred eleven thousand, two hundred one".