214728438544 has 135 divisors (see below), whose sum is σ = 446240249343. Its totient is φ = 100091808000.

The previous prime is 214728438527. The next prime is 214728438553. The reversal of 214728438544 is 445834827412.

The square root of 214728438544 is 463388.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 159920010000 + 54808428544 = 399900^2 + 234112^2 .

It is a super-2 number, since 2×214728438544² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214728438491 and 214728438500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2126024094 + ... + 2126024194.

Almost surely, 2^214728438544 is an apocalyptic number.

214728438544 is the 463388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214728438544

214728438544 is an abundant number, since it is smaller than the sum of its proper divisors (231511810799).

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

214728438544 is an equidigital number, since it uses as much as digits as its factorization.

214728438544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 171 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 52.

The spelling of 214728438544 in words is "two hundred fourteen billion, seven hundred twenty-eight million, four hundred thirty-eight thousand, five hundred forty-four".