16607734641 has 81 divisors (see below), whose sum is σ = 26211021291. Its totient is φ = 10522059408.

The previous prime is 16607734609. The next prime is 16607734657. The reversal of 16607734641 is 14643770661.

The square root of 16607734641 is 128871.

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

16607734641 is a `hidden beast` number, since 1 + 6 + 607 + 7 + 34 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14860829025 + 1746905616 = 121905^2 + 41796^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 16607734641 - 2⁵ = 16607734609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16607734601) 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 80 ways as a sum of consecutive naturals, for example, 386226366 + ... + 386226408.

Almost surely, 2^16607734641 is an apocalyptic number.

16607734641 is the 128871-st square number.

16607734641 is the 64436-th centered octagonal number.

It is an amenable number.

16607734641 is a deficient number, since it is larger than the sum of its proper divisors (9603286650).

16607734641 is an frugal number, since it uses more digits than its factorization.

16607734641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 16607734641 in words is "sixteen billion, six hundred seven million, seven hundred thirty-four thousand, six hundred forty-one".