10355986849 has 16 divisors (see below), whose sum is σ = 11816416080. Its totient is φ = 8991129600.

The previous prime is 10355986843. The next prime is 10355986853. The reversal of 10355986849 is 94868955301.

It can be written as a sum of positive squares in 8 ways, for example, as 1464439824 + 8891547025 = 38268^2 + 94295^2 .

It is a cyclic number.

It is not a de Polignac number, because 10355986849 - 2⁹ = 10355986337 is a prime.

It is a super-3 number, since 3×10355986849³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10355986793 and 10355986802.

It is not an unprimeable number, because it can be changed into a prime (10355986843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339187 + ... + 368455.

It is an arithmetic number, because the mean of its divisors is an integer number (738526005).

Almost surely, 2^10355986849 is an apocalyptic number.

It is an amenable number.

10355986849 is a deficient number, since it is larger than the sum of its proper divisors (1460429231).

10355986849 is a wasteful number, since it uses less digits than its factorization.

10355986849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30900.

The product of its (nonzero) digits is 9331200, while the sum is 58.

The spelling of 10355986849 in words is "ten billion, three hundred fifty-five million, nine hundred eighty-six thousand, eight hundred forty-nine".