214329994220160 has 3584 divisors, whose sum is σ = 970027948753920. Its totient is φ = 44064524206080.

The previous prime is 214329994220131. The next prime is 214329994220213. The reversal of 214329994220160 is 61022499923412.

It is a happy number.

214329994220160 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 299 + 94 + 2 + 201 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 214329994220097 and 214329994220106.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 292401083154 + ... + 292401083886.

It is an arithmetic number, because the mean of its divisors is an integer number (270655119630).

Almost surely, 2^{214329994220160} is an apocalyptic number.

214329994220160 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 214329994220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485013974376960).

214329994220160 is an abundant number, since it is smaller than the sum of its proper divisors (755697954533760).

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

214329994220160 is an equidigital number, since it uses as much as digits as its factorization.

214329994220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 214329994220160 in words is "two hundred fourteen trillion, three hundred twenty-nine billion, nine hundred ninety-four million, two hundred twenty thousand, one hundred sixty".