16827537841 has 9 divisors (see below), whose sum is σ = 17070816321. Its totient is φ = 16587683712.

The previous prime is 16827537823. The next prime is 16827537847. The reversal of 16827537841 is 14873572861.

The square root of 16827537841 is 129721.

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

It can be written as a sum of positive squares in 4 ways, for example, as 93528241 + 16734009600 = 9671^2 + 129360^2 .

It is not a de Polignac number, because 16827537841 - 2²¹ = 16825440689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16827537847) 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, 9468745 + ... + 9470521.

It is an arithmetic number, because the mean of its divisors is an integer number (1896757369).

Almost surely, 2^16827537841 is an apocalyptic number.

16827537841 is the 129721-st square number.

16827537841 is the 64861-st centered octagonal number.

It is an amenable number.

16827537841 is a deficient number, since it is larger than the sum of its proper divisors (243278480).

16827537841 is an frugal number, since it uses more digits than its factorization.

16827537841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700 (or 1850 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 52.

It can be divided in two parts, 168275 and 37841, that added together give a square (206116 = 454²).

The spelling of 16827537841 in words is "sixteen billion, eight hundred twenty-seven million, five hundred thirty-seven thousand, eight hundred forty-one".