214302113032 has 64 divisors (see below), whose sum is σ = 466485580800. Its totient is φ = 90395688960.

The previous prime is 214302113023. The next prime is 214302113107. The reversal of 214302113032 is 230311203412.

214302113032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214302112994 and 214302113012.

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 15 ways as a sum of consecutive naturals, for example, 1903432 + ... + 2012872.

It is an arithmetic number, because the mean of its divisors is an integer number (7288837200).

Almost surely, 2^214302113032 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 214302113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233242790400).

214302113032 is an abundant number, since it is smaller than the sum of its proper divisors (252183467768).

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

214302113032 is a wasteful number, since it uses less digits than its factorization.

214302113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110006 (or 110002 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 214302113032 its reverse (230311203412), we get a palindrome (444613316444).

The spelling of 214302113032 in words is "two hundred fourteen billion, three hundred two million, one hundred thirteen thousand, thirty-two".