114000443055801 has 27 divisors (see below), whose sum is σ = 165730134341421. Its totient is φ = 75512885801184.

The previous prime is 114000443055761. The next prime is 114000443055907. The reversal of 114000443055801 is 108550344000411.

The square root of 114000443055801 is 10677099.

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

114000443055801 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 0 + 44 + 30 + 5 + 580 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17222541500025 + 96777901555776 = 4150005^2 + 9837576^2 .

It is not a de Polignac number, because 114000443055801 - 2¹¹ = 114000443053753 is a prime.

It is a super-2 number, since 2×114000443055801² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114000443053801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5028902295 + ... + 5028924963.

Almost surely, 2^{114000443055801} is an apocalyptic number.

114000443055801 is the 10677099-th square number.

114000443055801 is the 5338550-th centered octagonal number.

It is an amenable number.

114000443055801 is a deficient number, since it is larger than the sum of its proper divisors (51729691285620).

114000443055801 is an frugal number, since it uses more digits than its factorization.

114000443055801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45658 (or 22829 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 114000443055801 in words is "one hundred fourteen trillion, four hundred forty-three million, fifty-five thousand, eight hundred one".