6948906354441 has 24 divisors (see below), whose sum is σ = 10162960952040. Its totient is φ = 4574961524736.

The previous prime is 6948906354433. The next prime is 6948906354461. The reversal of 6948906354441 is 1444536098496.

It is a happy number.

6948906354441 is a `hidden beast` number, since 6 + 9 + 4 + 89 + 0 + 6 + 3 + 544 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2457808707600 + 4491097646841 = 1567740^2 + 2119221^2 .

It is not a de Polignac number, because 6948906354441 - 2³ = 6948906354433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6948906354461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14362476 + ... + 14838413.

It is an arithmetic number, because the mean of its divisors is an integer number (423456706335).

Almost surely, 2^{6948906354441} is an apocalyptic number.

It is an amenable number.

6948906354441 is a deficient number, since it is larger than the sum of its proper divisors (3214054597599).

6948906354441 is a wasteful number, since it uses less digits than its factorization.

6948906354441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29201225 (or 29201222 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 6948906354441 in words is "six trillion, nine hundred forty-eight billion, nine hundred six million, three hundred fifty-four thousand, four hundred forty-one".