16417553161 has 9 divisors (see below), whose sum is σ = 16878137031. Its totient is φ = 15969222792.

The previous prime is 16417553147. The next prime is 16417553171. The reversal of 16417553161 is 16135571461.

The square root of 16417553161 is 128131.

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., 14690652025 + 1726901136 = 121205^2 + 41556^2 .

It is not a de Polignac number, because 16417553161 - 2²⁹ = 15880682249 is a prime.

It is a super-2 number, since 2×16417553161² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16417553171) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4739116 + ... + 4742578.

It is an arithmetic number, because the mean of its divisors is an integer number (1875348559).

Almost surely, 2^16417553161 is an apocalyptic number.

16417553161 is the 128131-st square number.

16417553161 is the 64066-th centered octagonal number.

It is an amenable number.

16417553161 is a deficient number, since it is larger than the sum of its proper divisors (460583870).

16417553161 is an frugal number, since it uses more digits than its factorization.

16417553161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000 (or 3500 counting only the distinct ones).

The product of its digits is 75600, while the sum is 40.

The spelling of 16417553161 in words is "sixteen billion, four hundred seventeen million, five hundred fifty-three thousand, one hundred sixty-one".