1186742248129 has 9 divisors (see below), whose sum is σ = 1260676663401. Its totient is φ = 1116916450560.

The previous prime is 1186742248037. The next prime is 1186742248193. The reversal of 1186742248129 is 9218422476811.

The square root of 1186742248129 is 1089377.

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 19581804225 + 1167160443904 = 139935^2 + 1080352^2 .

It is not a de Polignac number, because 1186742248129 - 2¹³ = 1186742239937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1186742248129.

It is not an unprimeable number, because it can be changed into a prime (1186742248429) 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, 18487369 + ... + 18551449.

Almost surely, 2^{1186742248129} is an apocalyptic number.

1186742248129 is the 1089377-th square number.

1186742248129 is the 544689-th centered octagonal number.

It is an amenable number.

1186742248129 is a deficient number, since it is larger than the sum of its proper divisors (73934415272).

1186742248129 is an frugal number, since it uses more digits than its factorization.

1186742248129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128196 (or 64098 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 55.

The spelling of 1186742248129 in words is "one trillion, one hundred eighty-six billion, seven hundred forty-two million, two hundred forty-eight thousand, one hundred twenty-nine".