1125686166176 has 108 divisors (see below), whose sum is σ = 2623920667326. Its totient is φ = 472215997440.

The previous prime is 1125686166131. The next prime is 1125686166203. The reversal of 1125686166176 is 6716616865211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 126238090000 + 999448076176 = 355300^2 + 999724^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 238036580 + ... + 238041308.

Almost surely, 2^{1125686166176} is an apocalyptic number.

1125686166176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125686166176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311960333663).

1125686166176 is an abundant number, since it is smaller than the sum of its proper divisors (1498234501150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1125686166176 is an frugal number, since it uses more digits than its factorization.

1125686166176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503 (or 4755 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 56.

The spelling of 1125686166176 in words is "one trillion, one hundred twenty-five billion, six hundred eighty-six million, one hundred sixty-six thousand, one hundred seventy-six".