214160670448128 has 1280 divisors, whose sum is σ = 693334023782400. Its totient is φ = 65047093493760.

The previous prime is 214160670448117. The next prime is 214160670448129. The reversal of 214160670448128 is 821844076061412.

214160670448128 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 6 + 0 + 6 + 70 + 448 + 128 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (214160670448129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264069876843 + ... + 264069877653.

It is an arithmetic number, because the mean of its divisors is an integer number (541667206080).

Almost surely, 2^{214160670448128} 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 214160670448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346667011891200).

214160670448128 is an abundant number, since it is smaller than the sum of its proper divisors (479173353334272).

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

214160670448128 is a wasteful number, since it uses less digits than its factorization.

214160670448128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 214160670448128 in words is "two hundred fourteen trillion, one hundred sixty billion, six hundred seventy million, four hundred forty-eight thousand, one hundred twenty-eight".