16476382110321 has 135 divisors (see below), whose sum is σ = 28352256702497. Its totient is φ = 9219702360960.

The previous prime is 16476382110283. The next prime is 16476382110347. The reversal of 16476382110321 is 12301128367461.

The square root of 16476382110321 is 4059111.

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

16476382110321 is a `hidden beast` number, since 1 + 6 + 4 + 7 + 638 + 2 + 1 + 1 + 0 + 3 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1193357025 + 16475188753296 = 34545^2 + 4058964^2 .

It is not a de Polignac number, because 16476382110321 - 2²¹ = 16476380013169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16476382910321) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 31624533541 + ... + 31624534061.

Almost surely, 2^{16476382110321} is an apocalyptic number.

16476382110321 is the 4059111-st square number.

16476382110321 is the 2029556-th centered octagonal number.

It is an amenable number.

16476382110321 is a deficient number, since it is larger than the sum of its proper divisors (11875874592176).

16476382110321 is an frugal number, since it uses more digits than its factorization.

16476382110321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16476382110321 in words is "sixteen trillion, four hundred seventy-six billion, three hundred eighty-two million, one hundred ten thousand, three hundred twenty-one".