1084112016829 has 2 divisors, whose sum is σ = 1084112016830. Its totient is φ = 1084112016828.

The previous prime is 1084112016821. The next prime is 1084112016859. The reversal of 1084112016829 is 9286102114801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1075794212025 + 8317804804 = 1037205^2 + 91202^2 .

It is a cyclic number.

It is not a de Polignac number, because 1084112016829 - 2³ = 1084112016821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1084112016821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542056008414 + 542056008415.

It is an arithmetic number, because the mean of its divisors is an integer number (542056008415).

Almost surely, 2^{1084112016829} is an apocalyptic number.

It is an amenable number.

1084112016829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1084112016829 is an equidigital number, since it uses as much as digits as its factorization.

1084112016829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 43.

The spelling of 1084112016829 in words is "one trillion, eighty-four billion, one hundred twelve million, sixteen thousand, eight hundred twenty-nine".