13444634401 has 27 divisors (see below), whose sum is σ = 15076888113. Its totient is φ = 11980057320.

The previous prime is 13444634377. The next prime is 13444634453. The reversal of 13444634401 is 10443644431.

The square root of 13444634401 is 115951.

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

It is not a de Polignac number, because 13444634401 - 2⁵ = 13444634369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13444632401) 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, 105863200 + ... + 105863326.

Almost surely, 2^13444634401 is an apocalyptic number.

13444634401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13444634401 is the 115951-st square number.

13444634401 is the 57976-th centered octagonal number.

It is an amenable number.

13444634401 is a deficient number, since it is larger than the sum of its proper divisors (1632253712).

13444634401 is an frugal number, since it uses more digits than its factorization.

13444634401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 13444634401 in words is "thirteen billion, four hundred forty-four million, six hundred thirty-four thousand, four hundred one".