112777087329 has 81 divisors (see below), whose sum is σ = 177089160339. Its totient is φ = 69152672160.

The previous prime is 112777087307. The next prime is 112777087333. The reversal of 112777087329 is 923780777211.

The square root of 112777087329 is 335823.

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., 33056694225 + 79720393104 = 181815^2 + 282348^2 .

It is not a de Polignac number, because 112777087329 - 2²¹ = 112774990177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112777087399) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 718325319 + ... + 718325475.

Almost surely, 2^112777087329 is an apocalyptic number.

112777087329 is the 335823-rd square number.

112777087329 is the 167912-nd centered octagonal number.

It is an amenable number.

112777087329 is a deficient number, since it is larger than the sum of its proper divisors (64312073010).

112777087329 is an equidigital number, since it uses as much as digits as its factorization.

112777087329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 54.

The spelling of 112777087329 in words is "one hundred twelve billion, seven hundred seventy-seven million, eighty-seven thousand, three hundred twenty-nine".