214532334640 has 80 divisors (see below), whose sum is σ = 537807640608. Its totient is φ = 79115839488.

The previous prime is 214532334629. The next prime is 214532334701. The reversal of 214532334640 is 46433235412.

214532334640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 214532334640.

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, 735364 + ... + 984796.

Almost surely, 2^214532334640 is an apocalyptic number.

214532334640 is a gapful number since it is divisible by the number (20) 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 214532334640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268903820304).

214532334640 is an abundant number, since it is smaller than the sum of its proper divisors (323275305968).

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

214532334640 is a wasteful number, since it uses less digits than its factorization.

214532334640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250286 (or 250280 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

The spelling of 214532334640 in words is "two hundred fourteen billion, five hundred thirty-two million, three hundred thirty-four thousand, six hundred forty".