6984810968301 has 12 divisors (see below), whose sum is σ = 10254567651900. Its totient is φ = 4580203913280.

The previous prime is 6984810968287. The next prime is 6984810968323. The reversal of 6984810968301 is 1038690184896.

6984810968301 is a `hidden beast` number, since 6 + 98 + 481 + 0 + 9 + 68 + 3 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3626076659076 + 3358734309225 = 1904226^2 + 1832685^2 .

It is not a de Polignac number, because 6984810968301 - 2³³ = 6976221033709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6984810968351) 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 11 ways as a sum of consecutive naturals, for example, 6361393776 + ... + 6361394873.

It is an arithmetic number, because the mean of its divisors is an integer number (854547304325).

Almost surely, 2^{6984810968301} is an apocalyptic number.

6984810968301 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6984810968301 is a deficient number, since it is larger than the sum of its proper divisors (3269756683599).

6984810968301 is a wasteful number, since it uses less digits than its factorization.

6984810968301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12722788716 (or 12722788713 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 6984810968301 in words is "six trillion, nine hundred eighty-four billion, eight hundred ten million, nine hundred sixty-eight thousand, three hundred one".