214664808960 has 960 divisors, whose sum is σ = 920464300800. Its totient is φ = 46445985792.

The previous prime is 214664808931. The next prime is 214664808971. The reversal of 214664808960 is 69808466412.

214664808960 is a `hidden beast` number, since 2 + 1 + 466 + 48 + 0 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 214664808897 and 214664808906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174665626 + ... + 174666854.

It is an arithmetic number, because the mean of its divisors is an integer number (958816980).

Almost surely, 2^214664808960 is an apocalyptic number.

214664808960 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 214664808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460232150400).

214664808960 is an abundant number, since it is smaller than the sum of its proper divisors (705799491840).

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

214664808960 is a wasteful number, since it uses less digits than its factorization.

214664808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 214664808960 in words is "two hundred fourteen billion, six hundred sixty-four million, eight hundred eight thousand, nine hundred sixty".