214727437728 has 96 divisors (see below), whose sum is σ = 634216262400. Its totient is φ = 70669767168.

The previous prime is 214727437693. The next prime is 214727437753. The reversal of 214727437728 is 827734727412.

214727437728 is a `hidden beast` number, since 2 + 1 + 472 + 74 + 37 + 72 + 8 = 666.

214727437728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×214727437728² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1504701 + ... + 1641212.

It is an arithmetic number, because the mean of its divisors is an integer number (6606419400).

Almost surely, 2^214727437728 is an apocalyptic number.

It is an amenable number.

214727437728 is an abundant number, since it is smaller than the sum of its proper divisors (419488824672).

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

214727437728 is a wasteful number, since it uses less digits than its factorization.

214727437728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146011 (or 3145997 counting only the distinct ones).

The product of its digits is 7375872, while the sum is 54.

The spelling of 214727437728 in words is "two hundred fourteen billion, seven hundred twenty-seven million, four hundred thirty-seven thousand, seven hundred twenty-eight".