1084999306689 has 63 divisors (see below), whose sum is σ = 1643582528787. Its totient is φ = 715926860496.

The previous prime is 1084999306661. The next prime is 1084999306691. The reversal of 1084999306689 is 9866039994801.

The square root of 1084999306689 is 1041633.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 986972706225 + 98026600464 = 993465^2 + 313092^2 .

It is not a de Polignac number, because 1084999306689 - 2¹⁹ = 1084998782401 is a prime.

It is a super-2 number, since 2×1084999306689² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1084999306789) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4865467632 + ... + 4865467854.

Almost surely, 2^{1084999306689} is an apocalyptic number.

1084999306689 is the 1041633-rd square number.

1084999306689 is the 520817-th centered octagonal number.

It is an amenable number.

1084999306689 is a deficient number, since it is larger than the sum of its proper divisors (558583222098).

1084999306689 is an frugal number, since it uses more digits than its factorization.

1084999306689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 1084999306689 in words is "one trillion, eighty-four billion, nine hundred ninety-nine million, three hundred six thousand, six hundred eighty-nine".