214527427968 has 128 divisors (see below), whose sum is σ = 651786462720. Its totient is φ = 61242494976.

The previous prime is 214527427901. The next prime is 214527427999. The reversal of 214527427968 is 869724725412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3254796 + ... + 3320052.

It is an arithmetic number, because the mean of its divisors is an integer number (5092081740).

Almost surely, 2^214527427968 is an apocalyptic number.

214527427968 is a gapful number since it is divisible by the number (28) 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 214527427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325893231360).

214527427968 is an abundant number, since it is smaller than the sum of its proper divisors (437259034752).

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

214527427968 is a wasteful number, since it uses less digits than its factorization.

214527427968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66504 (or 66492 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The spelling of 214527427968 in words is "two hundred fourteen billion, five hundred twenty-seven million, four hundred twenty-seven thousand, nine hundred sixty-eight".