114594862600201 has 9 divisors (see below), whose sum is σ = 115055932515303. Its totient is φ = 114135633138000.

The previous prime is 114594862600187. The next prime is 114594862600213. The reversal of 114594862600201 is 102006268495411.

The square root of 114594862600201 is 10704899.

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

It can be written as a sum of positive squares in only one way, i.e., 70285604089801 + 44309258510400 = 8383651^2 + 6656520^2 .

It is not a de Polignac number, because 114594862600201 - 2³⁹ = 114045106786313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114594862600241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2686908325 + ... + 2686950973.

Almost surely, 2^{114594862600201} is an apocalyptic number.

114594862600201 is the 10704899-th square number.

114594862600201 is the 5352450-th centered octagonal number.

It is an amenable number.

114594862600201 is a deficient number, since it is larger than the sum of its proper divisors (461069915102).

114594862600201 is an frugal number, since it uses more digits than its factorization.

114594862600201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85800 (or 42900 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 114594862600201 in words is "one hundred fourteen trillion, five hundred ninety-four billion, eight hundred sixty-two million, six hundred thousand, two hundred one".