115641181888281 has 135 divisors (see below), whose sum is σ = 202652903368773. Its totient is φ = 65525915604240.

The previous prime is 115641181888249. The next prime is 115641181888291. The reversal of 115641181888281 is 182888181146511.

The square root of 115641181888281 is 10753659.

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

115641181888281 is a `hidden beast` number, since 1 + 1 + 5 + 64 + 118 + 188 + 8 + 281 = 666.

It is not a de Polignac number, because 115641181888281 - 2⁵ = 115641181888249 is a prime.

It is a super-2 number, since 2×115641181888281² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (115641181888291) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 88749947076 + ... + 88749948378.

Almost surely, 2^{115641181888281} is an apocalyptic number.

115641181888281 is the 10753659-th square number.

115641181888281 is the 5376830-th centered octagonal number.

It is an amenable number.

115641181888281 is a deficient number, since it is larger than the sum of its proper divisors (87011721480492).

115641181888281 is an frugal number, since it uses more digits than its factorization.

115641181888281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 1444 counting only the distinct ones).

The product of its digits is 7864320, while the sum is 63.

The spelling of 115641181888281 in words is "one hundred fifteen trillion, six hundred forty-one billion, one hundred eighty-one million, eight hundred eighty-eight thousand, two hundred eighty-one".