1034114186677 has 24 divisors (see below), whose sum is σ = 1224869099832. Its totient is φ = 867248004480.

The previous prime is 1034114186597. The next prime is 1034114186789. The reversal of 1034114186677 is 7766814114301.

It can be written as a sum of positive squares in 4 ways, for example, as 346319303121 + 687794883556 = 588489^2 + 829334^2 .

It is not a de Polignac number, because 1034114186677 - 2¹⁹ = 1034113662389 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 1034114186677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034114186377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2333463 + ... + 2741035.

It is an arithmetic number, because the mean of its divisors is an integer number (51036212493).

Almost surely, 2^{1034114186677} is an apocalyptic number.

It is an amenable number.

1034114186677 is a deficient number, since it is larger than the sum of its proper divisors (190754913155).

1034114186677 is a wasteful number, since it uses less digits than its factorization.

1034114186677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409221 (or 409210 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The spelling of 1034114186677 in words is "one trillion, thirty-four billion, one hundred fourteen million, one hundred eighty-six thousand, six hundred seventy-seven".