10966818683764 has 36 divisors (see below), whose sum is σ = 20256023686500. Its totient is φ = 5194597003776.

The previous prime is 10966818683759. The next prime is 10966818683767. The reversal of 10966818683764 is 46738681866901.

It can be written as a sum of positive squares in 2 ways, for example, as 1918502010000 + 9048316673764 = 1385100^2 + 3008042^2 .

It is a super-2 number, since 2×10966818683764² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10966818683767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38628522 + ... + 38911390.

It is an arithmetic number, because the mean of its divisors is an integer number (562667324625).

Almost surely, 2^{10966818683764} is an apocalyptic number.

It is an amenable number.

10966818683764 is a deficient number, since it is larger than the sum of its proper divisors (9289205002736).

10966818683764 is a wasteful number, since it uses less digits than its factorization.

10966818683764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309760 (or 309739 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 73.

The spelling of 10966818683764 in words is "ten trillion, nine hundred sixty-six billion, eight hundred eighteen million, six hundred eighty-three thousand, seven hundred sixty-four".