2214532354122 has 144 divisors (see below), whose sum is σ = 5585719917960. Its totient is φ = 631428188160.

The previous prime is 2214532354117. The next prime is 2214532354141.

2214532354122 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 5 + 3 + 235 + 412 + 2 = 666.

2214532354122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1582712447481 + 631819906641 = 1258059^2 + 794871^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 228556654 + ... + 228566342.

Almost surely, 2^{2214532354122} is an apocalyptic number.

2214532354122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214532354122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792859958980).

2214532354122 is an abundant number, since it is smaller than the sum of its proper divisors (3371187563838).

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

2214532354122 is a wasteful number, since it uses less digits than its factorization.

2214532354122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15909 (or 15895 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 2214532354122 in words is "two trillion, two hundred fourteen billion, five hundred thirty-two million, three hundred fifty-four thousand, one hundred twenty-two".