16008617159929 has 27 divisors (see below), whose sum is σ = 17460689551119. Its totient is φ = 14674670091360.

The previous prime is 16008617159849. The next prime is 16008617159947. The reversal of 16008617159929 is 92995171680061.

The square root of 16008617159929 is 4001077.

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

It can be written as a sum of positive squares in only one way, i.e., 1656278911225 + 14352338248704 = 1286965^2 + 3788448^2 .

It is not a de Polignac number, because 16008617159929 - 2⁹ = 16008617159417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16008617159329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2356630957 + ... + 2356637749.

It is an arithmetic number, because the mean of its divisors is an integer number (646692205597).

Almost surely, 2^{16008617159929} is an apocalyptic number.

16008617159929 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

16008617159929 is the 4001077-th square number.

16008617159929 is the 2000539-th centered octagonal number.

It is an amenable number.

16008617159929 is a deficient number, since it is larger than the sum of its proper divisors (1452072391190).

16008617159929 is an frugal number, since it uses more digits than its factorization.

16008617159929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13686 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 64.

The spelling of 16008617159929 in words is "sixteen trillion, eight billion, six hundred seventeen million, one hundred fifty-nine thousand, nine hundred twenty-nine".