10683816874749 has 48 divisors (see below), whose sum is σ = 16547657011200. Its totient is φ = 6812172379584.

The previous prime is 10683816874747. The next prime is 10683816874763. The reversal of 10683816874749 is 94747861838601.

10683816874749 is a `hidden beast` number, since 1 + 0 + 68 + 3 + 8 + 16 + 87 + 474 + 9 = 666.

It is not a de Polignac number, because 10683816874749 - 2¹ = 10683816874747 is a prime.

It is a super-3 number, since 3×10683816874749³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10683816874747) 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 in 47 ways as a sum of consecutive naturals, for example, 164493409 + ... + 164558345.

It is an arithmetic number, because the mean of its divisors is an integer number (344742854400).

Almost surely, 2^{10683816874749} is an apocalyptic number.

It is an amenable number.

10683816874749 is a deficient number, since it is larger than the sum of its proper divisors (5863840136451).

10683816874749 is a wasteful number, since it uses less digits than its factorization.

10683816874749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76511 (or 76482 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 10683816874749 in words is "ten trillion, six hundred eighty-three billion, eight hundred sixteen million, eight hundred seventy-four thousand, seven hundred forty-nine".