112882911381769 has 9 divisors (see below), whose sum is σ = 113326594842261. Its totient is φ = 112440958356480.

The previous prime is 112882911381727. The next prime is 112882911381817. The reversal of 112882911381769 is 967183119288211.

The square root of 112882911381769 is 10624637.

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 10030617423225 + 102852293958544 = 3167115^2 + 10141612^2 .

It is not a de Polignac number, because 112882911381769 - 2¹⁹ = 112882910857481 is a prime.

It is a super-2 number, since 2×112882911381769² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112882911381719) 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, 2730511039 + ... + 2730552379.

Almost surely, 2^{112882911381769} is an apocalyptic number.

112882911381769 is the 10624637-th square number.

112882911381769 is the 5312319-th centered octagonal number.

It is an amenable number.

112882911381769 is a deficient number, since it is larger than the sum of its proper divisors (443683460492).

112882911381769 is an frugal number, since it uses more digits than its factorization.

112882911381769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83196 (or 41598 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 67.

The spelling of 112882911381769 in words is "one hundred twelve trillion, eight hundred eighty-two billion, nine hundred eleven million, three hundred eighty-one thousand, seven hundred sixty-nine".