112434807969 has 63 divisors (see below), whose sum is σ = 185457554499. Its totient is φ = 68081951520.

The previous prime is 112434807967. The next prime is 112434807983. The reversal of 112434807969 is 969708434211.

The square root of 112434807969 is 335313.

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

112434807969 is a `hidden beast` number, since 1 + 1 + 2 + 434 + 80 + 79 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9547830369 + 102886977600 = 97713^2 + 320760^2 .

It is not a de Polignac number, because 112434807969 - 2¹ = 112434807967 is a prime.

It is a super-2 number, since 2×112434807969² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112434807967) 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, 99587397 + ... + 99588525.

Almost surely, 2^112434807969 is an apocalyptic number.

112434807969 is the 335313-rd square number.

112434807969 is the 167657-th centered octagonal number.

It is an amenable number.

112434807969 is a deficient number, since it is larger than the sum of its proper divisors (73022746530).

112434807969 is an frugal number, since it uses more digits than its factorization.

112434807969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 112434807969 in words is "one hundred twelve billion, four hundred thirty-four million, eight hundred seven thousand, nine hundred sixty-nine".