1126676009214 has 128 divisors (see below), whose sum is σ = 3003767193600. Its totient is φ = 306243076320.

The previous prime is 1126676009209. The next prime is 1126676009219. The reversal of 1126676009214 is 4129006766211.

1126676009214 is a `hidden beast` number, since 1 + 1 + 26 + 6 + 7 + 600 + 9 + 2 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (1126676009209) and next prime (1126676009219).

It is a self number, because there is not a number n which added to its sum of digits gives 1126676009214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126676009219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123462 + ... + 1506185.

It is an arithmetic number, because the mean of its divisors is an integer number (23466931200).

Almost surely, 2^{1126676009214} is an apocalyptic number.

1126676009214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126676009214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501883596800).

1126676009214 is an abundant number, since it is smaller than the sum of its proper divisors (1877091184386).

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

1126676009214 is a wasteful number, since it uses less digits than its factorization.

1126676009214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629755 (or 1629749 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1126676009214 in words is "one trillion, one hundred twenty-six billion, six hundred seventy-six million, nine thousand, two hundred fourteen".