3061381121568 has 768 divisors, whose sum is σ = 11736270766080. Its totient is φ = 753117004800.

The previous prime is 3061381121527. The next prime is 3061381121573. The reversal of 3061381121568 is 8651211831603.

3061381121568 is a `hidden beast` number, since 3 + 0 + 6 + 1 + 3 + 81 + 1 + 2 + 1 + 568 = 666.

It is a super-3 number, since 3×3061381121568³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96915505 + ... + 96947087.

It is an arithmetic number, because the mean of its divisors is an integer number (15281602560).

Almost surely, 2^{3061381121568} 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 3061381121568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868135383040).

3061381121568 is an abundant number, since it is smaller than the sum of its proper divisors (8674889644512).

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

3061381121568 is a wasteful number, since it uses less digits than its factorization.

3061381121568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31698 (or 31684 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 3061381121568 in words is "three trillion, sixty-one billion, three hundred eighty-one million, one hundred twenty-one thousand, five hundred sixty-eight".