126179117089 has 9 divisors (see below), whose sum is σ = 127477030521. Its totient is φ = 124894297200.

The previous prime is 126179117083. The next prime is 126179117093. The reversal of 126179117089 is 980711971621.

It is a happy number.

The square root of 126179117089 is 355217.

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 106860341025 + 19318776064 = 326895^2 + 138992^2 .

It is not a de Polignac number, because 126179117089 - 2¹³ = 126179108897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126179117083) 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, 35875159 + ... + 35878675.

Almost surely, 2^126179117089 is an apocalyptic number.

126179117089 is the 355217-th square number.

126179117089 is the 177609-th centered octagonal number.

It is an amenable number.

126179117089 is a deficient number, since it is larger than the sum of its proper divisors (1297913432).

126179117089 is an frugal number, since it uses more digits than its factorization.

126179117089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 52.

The spelling of 126179117089 in words is "one hundred twenty-six billion, one hundred seventy-nine million, one hundred seventeen thousand, eighty-nine".