2116565204964 has 96 divisors (see below), whose sum is σ = 5677487456256. Its totient is φ = 601168659840.

The previous prime is 2116565204959. The next prime is 2116565204969. The reversal of 2116565204964 is 4694025656112.

It is an interprime number because it is at equal distance from previous prime (2116565204959) and next prime (2116565204969).

It is not an unprimeable number, because it can be changed into a prime (2116565204969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20318637 + ... + 20422539.

It is an arithmetic number, because the mean of its divisors is an integer number (59140494336).

Almost surely, 2^{2116565204964} 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 2116565204964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838743728128).

2116565204964 is an abundant number, since it is smaller than the sum of its proper divisors (3560922251292).

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

2116565204964 is a wasteful number, since it uses less digits than its factorization.

2116565204964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105345 (or 105343 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 2116565204964 in words is "two trillion, one hundred sixteen billion, five hundred sixty-five million, two hundred four thousand, nine hundred sixty-four".