5464144677601 has 27 divisors (see below), whose sum is σ = 6126896032569. Its totient is φ = 4871381482368.

The previous prime is 5464144677557. The next prime is 5464144677619. The reversal of 5464144677601 is 1067764414645.

The square root of 5464144677601 is 2337551.

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 1075371074001 + 4388773603600 = 1037001^2 + 2094940^2 .

It is a de Polignac number, because none of the positive numbers 2^k-5464144677601 is a prime.

It is a super-2 number, since 2×5464144677601² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5464144677631) 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, 755025355 + ... + 755032591.

Almost surely, 2^{5464144677601} is an apocalyptic number.

5464144677601 is the 2337551-st square number.

5464144677601 is the 1168776-th centered octagonal number.

It is an amenable number.

5464144677601 is a deficient number, since it is larger than the sum of its proper divisors (662751354968).

5464144677601 is an frugal number, since it uses more digits than its factorization.

5464144677601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14546 (or 7273 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 55.

The spelling of 5464144677601 in words is "five trillion, four hundred sixty-four billion, one hundred forty-four million, six hundred seventy-seven thousand, six hundred one".