8004465601 has 16 divisors (see below), whose sum is σ = 8780425920. Its totient is φ = 7236628480.

The previous prime is 8004465587. The next prime is 8004465619. The reversal of 8004465601 is 1065644008.

It is a cyclic number.

It is not a de Polignac number, because 8004465601 - 2⁹ = 8004465089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8004465641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4236465 + ... + 4238353.

It is an arithmetic number, because the mean of its divisors is an integer number (548776620).

Almost surely, 2^8004465601 is an apocalyptic number.

It is an amenable number.

8004465601 is a deficient number, since it is larger than the sum of its proper divisors (775960319).

8004465601 is a wasteful number, since it uses less digits than its factorization.

8004465601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824.

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 8004465601 is about 89467.6790858017. The cubic root of 8004465601 is about 2000.3720641965.

The spelling of 8004465601 in words is "eight billion, four million, four hundred sixty-five thousand, six hundred one".