214844488128 has 196 divisors, whose sum is σ = 644878149408. Its totient is φ = 70979328000.

The previous prime is 214844488121. The next prime is 214844488189. The reversal of 214844488128 is 821884448412.

214844488128 is a `hidden beast` number, since 2 + 148 + 4 + 4 + 488 + 12 + 8 = 666.

214844488128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214844488121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5251753 + ... + 5292503.

Almost surely, 2^214844488128 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 214844488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322439074704).

214844488128 is an abundant number, since it is smaller than the sum of its proper divisors (430033661280).

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

214844488128 is an equidigital number, since it uses as much as digits as its factorization.

214844488128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40894 (or 40869 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 54.

The spelling of 214844488128 in words is "two hundred fourteen billion, eight hundred forty-four million, four hundred eighty-eight thousand, one hundred twenty-eight".