214309329360 has 160 divisors (see below), whose sum is σ = 759577098240. Its totient is φ = 48965005824.

The previous prime is 214309329343. The next prime is 214309329361. The reversal of 214309329360 is 63923903412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214309329361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4307989 + ... + 4357451.

It is an arithmetic number, because the mean of its divisors is an integer number (4747356864).

Almost surely, 2^214309329360 is an apocalyptic number.

214309329360 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 214309329360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379788549120).

214309329360 is an abundant number, since it is smaller than the sum of its proper divisors (545267768880).

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

214309329360 is a wasteful number, since it uses less digits than its factorization.

214309329360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52065 (or 52059 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The spelling of 214309329360 in words is "two hundred fourteen billion, three hundred nine million, three hundred twenty-nine thousand, three hundred sixty".