2991329366116 has 405 divisors, whose sum is σ = 7174575843309. Its totient is φ = 1087870597632.

The previous prime is 2991329366101. The next prime is 2991329366117. The reversal of 2991329366116 is 6116639231992.

The square root of 2991329366116 is 1729546.

It is a perfect power (a square), and thus also a powerful number.

2991329366116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 2730723200100 + 260606166016 = 1652490^2 + 510496^2 .

It is not an unprimeable number, because it can be changed into a prime (2991329366117) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 69565799191 + ... + 69565799233.

Almost surely, 2^{2991329366116} is an apocalyptic number.

2991329366116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2991329366116 is the 1729546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2991329366116

2991329366116 is an abundant number, since it is smaller than the sum of its proper divisors (4183246477193).

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

2991329366116 is an equidigital number, since it uses as much as digits as its factorization.

2991329366116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 82 counting only the distinct ones).

The product of its digits is 5668704, while the sum is 58.

The spelling of 2991329366116 in words is "two trillion, nine hundred ninety-one billion, three hundred twenty-nine million, three hundred sixty-six thousand, one hundred sixteen".