213214141110432 has 384 divisors, whose sum is σ = 731898907729920. Its totient is φ = 52737070325760.

The previous prime is 213214141110419. The next prime is 213214141110437. The reversal of 213214141110432 is 234011141412312.

It is a self number, because there is not a number n which added to its sum of digits gives 213214141110432.

It is not an unprimeable number, because it can be changed into a prime (213214141110437) by changing a digit.

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, 4561444 + ... + 21147932.

It is an arithmetic number, because the mean of its divisors is an integer number (1905986738880).

Almost surely, 2^{213214141110432} is an apocalyptic number.

213214141110432 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 213214141110432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365949453864960).

213214141110432 is an abundant number, since it is smaller than the sum of its proper divisors (518684766619488).

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

213214141110432 is a wasteful number, since it uses less digits than its factorization.

213214141110432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16586604 (or 16586596 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 213214141110432 its reverse (234011141412312), we get a palindrome (447225282522744).

The spelling of 213214141110432 in words is "two hundred thirteen trillion, two hundred fourteen billion, one hundred forty-one million, one hundred ten thousand, four hundred thirty-two".