16826822406601 has 9 divisors (see below), whose sum is σ = 16907818031559. Its totient is φ = 16746213002400.

The previous prime is 16826822406599. The next prime is 16826822406677. The reversal of 16826822406601 is 10660422862861.

It is a happy number.

The square root of 16826822406601 is 4102051.

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., 3899633613001 + 12927188793600 = 1974749^2 + 3595440^2 .

It is not a de Polignac number, because 16826822406601 - 2¹ = 16826822406599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16826822406001) 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, 865523041 + ... + 865542481.

It is an arithmetic number, because the mean of its divisors is an integer number (1878646447951).

Almost surely, 2^{16826822406601} is an apocalyptic number.

16826822406601 is the 4102051-st square number.

16826822406601 is the 2051026-th centered octagonal number.

It is an amenable number.

16826822406601 is a deficient number, since it is larger than the sum of its proper divisors (80995624958).

16826822406601 is an frugal number, since it uses more digits than its factorization.

16826822406601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39304 (or 19652 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 52.

The spelling of 16826822406601 in words is "sixteen trillion, eight hundred twenty-six billion, eight hundred twenty-two million, four hundred six thousand, six hundred one".