214271785728 has 2016 divisors, whose sum is σ = 912796372992. Its totient is φ = 48372940800.

The previous prime is 214271785727. The next prime is 214271785769. The reversal of 214271785728 is 827587172412.

214271785728 is a `hidden beast` number, since 21 + 42 + 7 + 1 + 7 + 8 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (214271785727) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5791129326 + ... + 5791129362.

Almost surely, 2^214271785728 is an apocalyptic number.

214271785728 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 214271785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456398186496).

214271785728 is an abundant number, since it is smaller than the sum of its proper divisors (698524587264).

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

214271785728 is a wasteful number, since it uses less digits than its factorization.

214271785728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 104 counting only the distinct ones).

The product of its digits is 3512320, while the sum is 54.

It can be divided in two parts, 214271 and 785728, that added together give a palindrome (999999).

The spelling of 214271785728 in words is "two hundred fourteen billion, two hundred seventy-one million, seven hundred eighty-five thousand, seven hundred twenty-eight".