6946090112 has 256 divisors, whose sum is σ = 16614551520. Its totient is φ = 2862612480.

The previous prime is 6946090111. The next prime is 6946090133. The reversal of 6946090112 is 2110906496.

It can be written as a sum of positive squares in 16 ways, for example, as 152374336 + 6793715776 = 12344^2 + 82424^2 .

It is not an unprimeable number, because it can be changed into a prime (6946090111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61469768 + ... + 61469880.

Almost surely, 2^6946090112 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 6946090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307275760).

6946090112 is an abundant number, since it is smaller than the sum of its proper divisors (9668461408).

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

6946090112 is a wasteful number, since it uses less digits than its factorization.

6946090112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 6946090112 is about 83343.2067537601. The cubic root of 6946090112 is about 1908.0077645464.

The spelling of 6946090112 in words is "six billion, nine hundred forty-six million, ninety thousand, one hundred twelve".