114008600505361 has 9 divisors (see below), whose sum is σ = 118075815390481. Its totient is φ = 110076970483984.

The previous prime is 114008600505277. The next prime is 114008600505367. The reversal of 114008600505361 is 163505006800411.

The square root of 114008600505361 is 10677481.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3932411946961 + 110076188558400 = 1983031^2 + 10491720^2 .

It is not a de Polignac number, because 114008600505361 - 2¹⁵ = 114008600472593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114008600505367) 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, 309462855 + ... + 309831043.

Almost surely, 2^{114008600505361} is an apocalyptic number.

114008600505361 is the 10677481-st square number.

114008600505361 is the 5338741-st centered octagonal number.

It is an amenable number.

114008600505361 is a deficient number, since it is larger than the sum of its proper divisors (4067214885120).

114008600505361 is an frugal number, since it uses more digits than its factorization.

114008600505361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736436 (or 368218 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 114008600505361 in words is "one hundred fourteen trillion, eight billion, six hundred million, five hundred five thousand, three hundred sixty-one".