214365563412 has 192 divisors, whose sum is σ = 689731037184. Its totient is φ = 50007144960.

The previous prime is 214365563389. The next prime is 214365563453.

214365563412 is nontrivially palindromic in base 10.

214365563412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203283 + ... + 685605.

It is an arithmetic number, because the mean of its divisors is an integer number (3592349152).

Almost surely, 2^214365563412 is an apocalyptic number.

214365563412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214365563412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344865518592).

214365563412 is an abundant number, since it is smaller than the sum of its proper divisors (475365473772).

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

214365563412 is a wasteful number, since it uses less digits than its factorization.

214365563412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482398 (or 482396 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 214365 and 563412, that added together give a palindrome (777777).

The spelling of 214365563412 in words is "two hundred fourteen billion, three hundred sixty-five million, five hundred sixty-three thousand, four hundred twelve".