4499493682401 has 63 divisors (see below), whose sum is σ = 6794847196707. Its totient is φ = 2978166204000.

The previous prime is 4499493682339. The next prime is 4499493682423. The reversal of 4499493682401 is 1042863949944.

The square root of 4499493682401 is 2121201.

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

4499493682401 is a `hidden beast` number, since 4 + 49 + 9 + 493 + 68 + 2 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28704830625 + 4470788851776 = 169425^2 + 2114424^2 .

It is not a de Polignac number, because 4499493682401 - 2¹⁹ = 4499493158113 is a prime.

It is a super-2 number, since 2×4499493682401² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4499493682451) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 14375379021 + ... + 14375379333.

Almost surely, 2^{4499493682401} is an apocalyptic number.

4499493682401 is the 2121201-st square number.

4499493682401 is the 1060601-st centered octagonal number.

It is an amenable number.

4499493682401 is a deficient number, since it is larger than the sum of its proper divisors (2295353514306).

4499493682401 is an frugal number, since it uses more digits than its factorization.

4499493682401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 4499493682401 in words is "four trillion, four hundred ninety-nine billion, four hundred ninety-three million, six hundred eighty-two thousand, four hundred one".