111265008457729 has 9 divisors (see below), whose sum is σ = 129430810017027. Its totient is φ = 95369943960144.

The previous prime is 111265008457637. The next prime is 111265008457747. The reversal of 111265008457729 is 927754800562111.

It is a happy number.

The square root of 111265008457729 is 10548223.

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., 16139317960129 + 95125690497600 = 4017377^2 + 9753240^2 .

It is a de Polignac number, because none of the positive numbers 2^k-111265008457729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111265008457529) 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, 73084117 + ... + 74591005.

It is an arithmetic number, because the mean of its divisors is an integer number (14381201113003).

Almost surely, 2^{111265008457729} is an apocalyptic number.

111265008457729 is the 10548223-rd square number.

111265008457729 is the 5274112-nd centered octagonal number.

It is an amenable number.

111265008457729 is a deficient number, since it is larger than the sum of its proper divisors (18165801559298).

111265008457729 is an frugal number, since it uses more digits than its factorization.

111265008457729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013792 (or 1506896 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 58.

The spelling of 111265008457729 in words is "one hundred eleven trillion, two hundred sixty-five billion, eight million, four hundred fifty-seven thousand, seven hundred twenty-nine".