110516714112249 has 63 divisors (see below), whose sum is σ = 166320793093567. Its totient is φ = 73402481978496.

The previous prime is 110516714112239. The next prime is 110516714112251. The reversal of 110516714112249 is 942211417615011.

The square root of 110516714112249 is 10512693.

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

110516714112249 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 1 + 6 + 7 + 1 + 411 + 224 + 9 = 666.

110516714112249 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 44899715525625 + 65616998586624 = 6700725^2 + 8100432^2 .

It is a de Polignac number, because none of the positive numbers 2^k-110516714112249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110516714112209) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 100196476432 + ... + 100196477534.

Almost surely, 2^{110516714112249} is an apocalyptic number.

110516714112249 is the 10512693-rd square number.

110516714112249 is the 5256347-th centered octagonal number.

It is an amenable number.

110516714112249 is a deficient number, since it is larger than the sum of its proper divisors (55804078981318).

110516714112249 is an frugal number, since it uses more digits than its factorization.

110516714112249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 110516714112249 in words is "one hundred ten trillion, five hundred sixteen billion, seven hundred fourteen million, one hundred twelve thousand, two hundred forty-nine".