3011611696128 has 528 divisors, whose sum is σ = 10779662222784. Its totient is φ = 790081044480.

The previous prime is 3011611696109. The next prime is 3011611696189. The reversal of 3011611696128 is 8216961161103.

3011611696128 is a `hidden beast` number, since 3 + 0 + 1 + 1 + 611 + 6 + 9 + 6 + 1 + 28 = 666.

It is a super-3 number, since 3×3011611696128³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44931376 + ... + 44998352.

Almost surely, 2^{3011611696128} 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 3011611696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389831111392).

3011611696128 is an abundant number, since it is smaller than the sum of its proper divisors (7768050526656).

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

3011611696128 is a wasteful number, since it uses less digits than its factorization.

3011611696128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67068 (or 67047 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 3011611696128 in words is "three trillion, eleven billion, six hundred eleven million, six hundred ninety-six thousand, one hundred twenty-eight".