2211345917676 has 216 divisors, whose sum is σ = 6909259528080. Its totient is φ = 592544139264.

The previous prime is 2211345917609. The next prime is 2211345917713. The reversal of 2211345917676 is 6767195431122.

2211345917676 is a `hidden beast` number, since 2 + 2 + 1 + 13 + 459 + 176 + 7 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8356320 + ... + 8616888.

It is an arithmetic number, because the mean of its divisors is an integer number (31987312630).

Almost surely, 2^{2211345917676} 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 2211345917676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454629764040).

2211345917676 is an abundant number, since it is smaller than the sum of its proper divisors (4697913610404).

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

2211345917676 is a wasteful number, since it uses less digits than its factorization.

2211345917676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260893 (or 260881 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 2211345917676 in words is "two trillion, two hundred eleven billion, three hundred forty-five million, nine hundred seventeen thousand, six hundred seventy-six".