4579381722601 has 27 divisors (see below), whose sum is σ = 5348502748407. Its totient is φ = 3909430029120.

The previous prime is 4579381722577. The next prime is 4579381722613. The reversal of 4579381722601 is 1062271839754.

The square root of 4579381722601 is 2139949.

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., 803355482601 + 3776026240000 = 896301^2 + 1943200^2 .

It is not a de Polignac number, because 4579381722601 - 2⁵ = 4579381722569 is a prime.

It is a super-2 number, since 2×4579381722601² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4579381722691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5197935681 + ... + 5197936561.

It is a 2-persistent number, because it is pandigital, and so is 2⋅4579381722601 = 9158763445202, but 3⋅4579381722601 = 13738145167803 is not.

Almost surely, 2^{4579381722601} is an apocalyptic number.

4579381722601 is the 2139949-th square number.

4579381722601 is the 1069975-th centered octagonal number.

It is an amenable number.

4579381722601 is a deficient number, since it is larger than the sum of its proper divisors (769121025806).

4579381722601 is an frugal number, since it uses more digits than its factorization.

4579381722601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 4579381722601 in words is "four trillion, five hundred seventy-nine billion, three hundred eighty-one million, seven hundred twenty-two thousand, six hundred one".