214442242244412 has 192 divisors, whose sum is σ = 632495968118784. Its totient is φ = 55026112527360.

The previous prime is 214442242244383. The next prime is 214442242244423.

214442242244412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×214442242244412² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2439266737 + ... + 2439354647.

It is an arithmetic number, because the mean of its divisors is an integer number (3294249833952).

Almost surely, 2^{214442242244412} 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 214442242244412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316247984059392).

214442242244412 is an abundant number, since it is smaller than the sum of its proper divisors (418053725874372).

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

214442242244412 is a wasteful number, since it uses less digits than its factorization.

214442242244412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148348 (or 148346 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 42.

The spelling of 214442242244412 in words is "two hundred fourteen trillion, four hundred forty-two billion, two hundred forty-two million, two hundred forty-four thousand, four hundred twelve".