7106683881352 has 64 divisors (see below), whose sum is σ = 14657071564800. Its totient is φ = 3203545800000.

The previous prime is 7106683881347. The next prime is 7106683881379. The reversal of 7106683881352 is 2531883866017.

It is a happy number.

It is a super-2 number, since 2×7106683881352² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10824477 + ... + 11462227.

It is an arithmetic number, because the mean of its divisors is an integer number (229016743200).

Almost surely, 2^{7106683881352} 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 7106683881352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328535782400).

7106683881352 is an abundant number, since it is smaller than the sum of its proper divisors (7550387683448).

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

7106683881352 is a wasteful number, since it uses less digits than its factorization.

7106683881352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638818 (or 638814 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 7106683881352 in words is "seven trillion, one hundred six billion, six hundred eighty-three million, eight hundred eighty-one thousand, three hundred fifty-two".