214388308032 has 224 divisors, whose sum is σ = 616443125760. Its totient is φ = 65560535040.

The previous prime is 214388308027. The next prime is 214388308039. The reversal of 214388308032 is 230803883412.

It is not an unprimeable number, because it can be changed into a prime (214388308039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15462319 + ... + 15476177.

It is an arithmetic number, because the mean of its divisors is an integer number (2751978240).

Almost surely, 2^214388308032 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 214388308032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308221562880).

214388308032 is an abundant number, since it is smaller than the sum of its proper divisors (402054817728).

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

214388308032 is a wasteful number, since it uses less digits than its factorization.

214388308032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14041 (or 14031 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 214388308032 in words is "two hundred fourteen billion, three hundred eighty-eight million, three hundred eight thousand, thirty-two".