2216414146122 has 72 divisors (see below), whose sum is σ = 5291650318500. Its totient is φ = 669965472000.

The previous prime is 2216414146091. The next prime is 2216414146153.

2216414146122 is a `hidden beast` number, since 2 + 2 + 1 + 641 + 4 + 1 + 4 + 6 + 1 + 2 + 2 = 666.

2216414146122 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2216414146091) and next prime (2216414146153).

It can be written as a sum of positive squares in 2 ways, for example, as 1232586227961 + 983827918161 = 1110219^2 + 991881^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 395497 + ... + 2142252.

Almost surely, 2^{2216414146122} is an apocalyptic number.

2216414146122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2216414146122 is an abundant number, since it is smaller than the sum of its proper divisors (3075236172378).

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

2216414146122 is a wasteful number, since it uses less digits than its factorization.

2216414146122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538180 (or 2538166 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 2216414146122 in words is "two trillion, two hundred sixteen billion, four hundred fourteen million, one hundred forty-six thousand, one hundred twenty-two".