2004456432521 has 8 divisors (see below), whose sum is σ = 2174130650664. Its totient is φ = 1840533882880.

The previous prime is 2004456432467. The next prime is 2004456432569. The reversal of 2004456432521 is 1252346544002.

It can be written as a sum of positive squares in 4 ways, for example, as 11164246921 + 1993292185600 = 105661^2 + 1411840^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2004456432521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004456432581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1437916400 + ... + 1437917793.

It is an arithmetic number, because the mean of its divisors is an integer number (271766331333).

Almost surely, 2^{2004456432521} is an apocalyptic number.

It is an amenable number.

2004456432521 is a deficient number, since it is larger than the sum of its proper divisors (169674218143).

2004456432521 is a wasteful number, since it uses less digits than its factorization.

2004456432521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875834251.

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 2004456432521 in words is "two trillion, four billion, four hundred fifty-six million, four hundred thirty-two thousand, five hundred twenty-one".