3122694441456 has 80 divisors (see below), whose sum is σ = 8498179891200. Its totient is φ = 985342662144.

The previous prime is 3122694441403. The next prime is 3122694441509. The reversal of 3122694441456 is 6541444962213.

It is an interprime number because it is at equal distance from previous prime (3122694441403) and next prime (3122694441509).

It is a super-3 number, since 3×3122694441456³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3122694441399 and 3122694441408.

It is a congruent number.

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, 172101 + ... + 2504996.

It is an arithmetic number, because the mean of its divisors is an integer number (106227248640).

Almost surely, 2^{3122694441456} 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 3122694441456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249089945600).

3122694441456 is an abundant number, since it is smaller than the sum of its proper divisors (5375485449744).

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

3122694441456 is a wasteful number, since it uses less digits than its factorization.

3122694441456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678406 (or 2678400 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 51.

The spelling of 3122694441456 in words is "three trillion, one hundred twenty-two billion, six hundred ninety-four million, four hundred forty-one thousand, four hundred fifty-six".