16786056332241 has 45 divisors (see below), whose sum is σ = 29169869180331. Its totient is φ = 9591884695008.

The previous prime is 16786056332147. The next prime is 16786056332261. The reversal of 16786056332241 is 14223365068761.

The square root of 16786056332241 is 4097079.

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

16786056332241 is a `hidden beast` number, since 1 + 6 + 7 + 8 + 6 + 0 + 563 + 32 + 2 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15745460483025 + 1040595849216 = 3968055^2 + 1020096^2 .

It is not a de Polignac number, because 16786056332241 - 2¹⁵ = 16786056299473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16786056332261) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 258083461 + ... + 258148493.

Almost surely, 2^{16786056332241} is an apocalyptic number.

16786056332241 is the 4097079-th square number.

16786056332241 is the 2048540-th centered octagonal number.

It is an amenable number.

16786056332241 is a deficient number, since it is larger than the sum of its proper divisors (12383812848090).

16786056332241 is an frugal number, since it uses more digits than its factorization.

16786056332241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130092 (or 65043 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 16786056332241 in words is "sixteen trillion, seven hundred eighty-six billion, fifty-six million, three hundred thirty-two thousand, two hundred forty-one".