4458225325401 has 81 divisors (see below), whose sum is σ = 7223048296191. Its totient is φ = 2648874400128.

The previous prime is 4458225325391. The next prime is 4458225325451. The reversal of 4458225325401 is 1045235228544.

The square root of 4458225325401 is 2111451.

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

4458225325401 is a `hidden beast` number, since 4 + 4 + 5 + 82 + 25 + 3 + 2 + 540 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3470936672025 + 987288653376 = 1863045^2 + 993624^2 .

It is not a de Polignac number, because 4458225325401 - 2³⁵ = 4423865587033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4458225325451) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2045994930 + ... + 2045997108.

Almost surely, 2^{4458225325401} is an apocalyptic number.

4458225325401 is the 2111451-st square number.

4458225325401 is the 1055726-th centered octagonal number.

It is an amenable number.

4458225325401 is a deficient number, since it is larger than the sum of its proper divisors (2764822970790).

4458225325401 is an equidigital number, since it uses as much as digits as its factorization.

4458225325401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 4458225325401 in words is "four trillion, four hundred fifty-eight billion, two hundred twenty-five million, three hundred twenty-five thousand, four hundred one".