6956144185344 has 208 divisors, whose sum is σ = 19040264415744. Its totient is φ = 2257455513600.

The previous prime is 6956144185339. The next prime is 6956144185349. The reversal of 6956144185344 is 4435814416596.

It is an interprime number because it is at equal distance from previous prime (6956144185339) and next prime (6956144185349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6956144185349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164306259 + ... + 164348589.

It is an arithmetic number, because the mean of its divisors is an integer number (91539732768).

Almost surely, 2^{6956144185344} is an apocalyptic number.

6956144185344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6956144185344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9520132207872).

6956144185344 is an abundant number, since it is smaller than the sum of its proper divisors (12084120230400).

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

6956144185344 is a wasteful number, since it uses less digits than its factorization.

6956144185344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42712 (or 42690 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 60.

The spelling of 6956144185344 in words is "six trillion, nine hundred fifty-six billion, one hundred forty-four million, one hundred eighty-five thousand, three hundred forty-four".