8648814001 has 9 divisors (see below), whose sum is σ = 8736645099. Its totient is φ = 8561859936.

The previous prime is 8648813989. The next prime is 8648814019. The reversal of 8648814001 is 1004188468.

It is a happy number.

The square root of 8648814001 is 92999.

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., 152399025 + 8496414976 = 12345^2 + 92176^2 .

It is not a de Polignac number, because 8648814001 - 2¹⁷ = 8648682929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8648814091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10508476 + ... + 10509298.

Almost surely, 2^8648814001 is an apocalyptic number.

8648814001 is the 92999-th square number.

8648814001 is the 46500-th centered octagonal number.

It is an amenable number.

8648814001 is a deficient number, since it is larger than the sum of its proper divisors (87831098).

8648814001 is an frugal number, since it uses more digits than its factorization.

8648814001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The cubic root of 8648814001 is about 2052.6686641380.

It can be divided in two parts, 86488 and 14001, that added together give a square (100489 = 317²).

The spelling of 8648814001 in words is "eight billion, six hundred forty-eight million, eight hundred fourteen thousand, one".