4623864001 has 9 divisors (see below), whose sum is σ = 4716428899. Its totient is φ = 4533085336.

The previous prime is 4623863999. The next prime is 4623864013. The reversal of 4623864001 is 1004683264.

The square root of 4623864001 is 67999.

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., 3333330225 + 1290533776 = 57735^2 + 35924^2 .

It is not a de Polignac number, because 4623864001 - 2¹ = 4623863999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4623864061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3603306 + ... + 3604588.

Almost surely, 2^4623864001 is an apocalyptic number.

4623864001 is the 67999-th square number.

4623864001 is the 34000-th centered octagonal number.

It is an amenable number.

4623864001 is a deficient number, since it is larger than the sum of its proper divisors (92564898).

4623864001 is an frugal number, since it uses more digits than its factorization.

4623864001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The cubic root of 4623864001 is about 1665.9745038173.

It can be divided in two parts, 4623 and 864001, that added together give a square (868624 = 932²).

The spelling of 4623864001 in words is "four billion, six hundred twenty-three million, eight hundred sixty-four thousand, one".