3121659571968 has 432 divisors, whose sum is σ = 11028784963840. Its totient is φ = 853117360128.

The previous prime is 3121659571909. The next prime is 3121659571997. The reversal of 3121659571968 is 8691759561213.

3121659571968 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 6 + 59 + 571 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25534155 + ... + 25656117.

Almost surely, 2^{3121659571968} 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 3121659571968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514392481920).

3121659571968 is an abundant number, since it is smaller than the sum of its proper divisors (7907125391872).

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

3121659571968 is a wasteful number, since it uses less digits than its factorization.

3121659571968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122041 (or 121998 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 63.

The spelling of 3121659571968 in words is "three trillion, one hundred twenty-one billion, six hundred fifty-nine million, five hundred seventy-one thousand, nine hundred sixty-eight".