7444161103201 has 9 divisors (see below), whose sum is σ = 7457452970899. Its totient is φ = 7430892898864.

The previous prime is 7444161103129. The next prime is 7444161103241. The reversal of 7444161103201 is 1023011614447.

The square root of 7444161103201 is 2728399.

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., 6614283830625 + 829877272576 = 2571825^2 + 910976^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7444161103201 is a prime.

It is a super-3 number, since 3×7444161103201³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7444161103241) 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, 1765272045 + ... + 1765276261.

Almost surely, 2^{7444161103201} is an apocalyptic number.

7444161103201 is the 2728399-th square number.

7444161103201 is the 1364200-th centered octagonal number.

It is an amenable number.

7444161103201 is a deficient number, since it is larger than the sum of its proper divisors (13291867698).

7444161103201 is an frugal number, since it uses more digits than its factorization.

7444161103201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9728 (or 4864 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

Adding to 7444161103201 its reverse (1023011614447), we get a palindrome (8467172717648).

The spelling of 7444161103201 in words is "seven trillion, four hundred forty-four billion, one hundred sixty-one million, one hundred three thousand, two hundred one".