6961448441696 has 96 divisors (see below), whose sum is σ = 15852529502208. Its totient is φ = 2947554086400.

The previous prime is 6961448441681. The next prime is 6961448441719.

6961448441696 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6961448441696² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10142621 + ... + 10807203.

It is an arithmetic number, because the mean of its divisors is an integer number (165130515648).

Almost surely, 2^{6961448441696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6961448441696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926264751104).

6961448441696 is an abundant number, since it is smaller than the sum of its proper divisors (8891081060512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6961448441696 is a wasteful number, since it uses less digits than its factorization.

6961448441696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665164 (or 665156 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 68.

The spelling of 6961448441696 in words is "six trillion, nine hundred sixty-one billion, four hundred forty-eight million, four hundred forty-one thousand, six hundred ninety-six".