214732145664 has 165 divisors, whose sum is σ = 641630944317. Its totient is φ = 71532896256.

The previous prime is 214732145653. The next prime is 214732145669. The reversal of 214732145664 is 466541237412.

The square root of 214732145664 is 463392.

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

214732145664 is a `hidden beast` number, since 2 + 1 + 4 + 73 + 2 + 14 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 209954571264 + 4777574400 = 458208^2 + 69120^2 .

It is a super-2 number, since 2×214732145664² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214732145669) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 133456092 + ... + 133457700.

Almost surely, 2^214732145664 is an apocalyptic number.

214732145664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

214732145664 is the 463392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214732145664

214732145664 is an abundant number, since it is smaller than the sum of its proper divisors (426898798653).

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

214732145664 is an frugal number, since it uses more digits than its factorization.

214732145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 1614 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 214732145664 in words is "two hundred fourteen billion, seven hundred thirty-two million, one hundred forty-five thousand, six hundred sixty-four".