16842413810401 has 9 divisors (see below), whose sum is σ = 17097824185491. Its totient is φ = 16590763639032.

The previous prime is 16842413810399. The next prime is 16842413810437. The reversal of 16842413810401 is 10401831424861.

The square root of 16842413810401 is 4103951.

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., 1859909526225 + 14982504284176 = 1363785^2 + 3870724^2 .

It is not a de Polignac number, because 16842413810401 - 2¹ = 16842413810399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16842413810441) 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 8 ways as a sum of consecutive naturals, for example, 274934091 + ... + 274995343.

Almost surely, 2^{16842413810401} is an apocalyptic number.

16842413810401 is the 4103951-st square number.

16842413810401 is the 2051976-th centered octagonal number.

It is an amenable number.

16842413810401 is a deficient number, since it is larger than the sum of its proper divisors (255410375090).

16842413810401 is an frugal number, since it uses more digits than its factorization.

16842413810401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122640 (or 61320 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 16842413810401 in words is "sixteen trillion, eight hundred forty-two billion, four hundred thirteen million, eight hundred ten thousand, four hundred one".