114900369667281 has 81 divisors (see below), whose sum is σ = 187511825245563. Its totient is φ = 67746799945440.

The previous prime is 114900369667273. The next prime is 114900369667283. The reversal of 114900369667281 is 182766963009411.

The square root of 114900369667281 is 10719159.

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

114900369667281 is a `hidden beast` number, since 1 + 1 + 490 + 0 + 3 + 6 + 9 + 6 + 67 + 2 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102814428665025 + 12085941002256 = 10139745^2 + 3476484^2 .

It is not a de Polignac number, because 114900369667281 - 2³ = 114900369667273 is a prime.

It is a super-2 number, since 2×114900369667281² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114900369667283) 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 80 ways as a sum of consecutive naturals, for example, 13088088750 + ... + 13088097528.

Almost surely, 2^{114900369667281} is an apocalyptic number.

114900369667281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114900369667281 is the 10719159-th square number.

114900369667281 is the 5359580-th centered octagonal number.

It is an amenable number.

114900369667281 is a deficient number, since it is larger than the sum of its proper divisors (72611455578282).

114900369667281 is an frugal number, since it uses more digits than its factorization.

114900369667281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17660 (or 8830 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 114900369667281 in words is "one hundred fourteen trillion, nine hundred billion, three hundred sixty-nine million, six hundred sixty-seven thousand, two hundred eighty-one".