2216514718341 has 48 divisors (see below), whose sum is σ = 3993560782848. Its totient is φ = 1150883748000.

The previous prime is 2216514718337. The next prime is 2216514718361. The reversal of 2216514718341 is 1438174156122.

2216514718341 is a `hidden beast` number, since 2 + 2 + 1 + 65 + 1 + 471 + 83 + 41 = 666.

It is not a de Polignac number, because 2216514718341 - 2² = 2216514718337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216514718321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680016 + ... + 2212566.

It is an arithmetic number, because the mean of its divisors is an integer number (83199182976).

Almost surely, 2^{2216514718341} is an apocalyptic number.

2216514718341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2216514718341 is a deficient number, since it is larger than the sum of its proper divisors (1777046064507).

2216514718341 is a wasteful number, since it uses less digits than its factorization.

2216514718341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534662 (or 1534659 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 2216514718341 in words is "two trillion, two hundred sixteen billion, five hundred fourteen million, seven hundred eighteen thousand, three hundred forty-one".