3011668313115 has 768 divisors, whose sum is σ = 7114405478400. Its totient is φ = 1068086476800.

The previous prime is 3011668313099. The next prime is 3011668313167. The reversal of 3011668313115 is 5113138661103.

It is a happy number.

It is not a de Polignac number, because 3011668313115 - 2⁴ = 3011668313099 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 6860292066 + ... + 6860292504.

It is an arithmetic number, because the mean of its divisors is an integer number (9263548800).

Almost surely, 2^{3011668313115} is an apocalyptic number.

3011668313115 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3011668313115 is an abundant number, since it is smaller than the sum of its proper divisors (4102737165285).

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

3011668313115 is a wasteful number, since it uses less digits than its factorization.

3011668313115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 3011668313115 in words is "three trillion, eleven billion, six hundred sixty-eight million, three hundred thirteen thousand, one hundred fifteen".