2845648464001 has 16 divisors (see below), whose sum is σ = 3365280518400. Its totient is φ = 2404773329280.

The previous prime is 2845648463993. The next prime is 2845648464019. The reversal of 2845648464001 is 1004648465482.

It is not a de Polignac number, because 2845648464001 - 2³ = 2845648463993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2845648464001.

It is not an unprimeable number, because it can be changed into a prime (2845648464401) 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, 58400656 + ... + 58449361.

It is an arithmetic number, because the mean of its divisors is an integer number (210330032400).

Almost surely, 2^{2845648464001} is an apocalyptic number.

It is an amenable number.

2845648464001 is a deficient number, since it is larger than the sum of its proper divisors (519632054399).

2845648464001 is an equidigital number, since it uses as much as digits as its factorization.

2845648464001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116850109 (or 116850095 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 52.

The spelling of 2845648464001 in words is "two trillion, eight hundred forty-five billion, six hundred forty-eight million, four hundred sixty-four thousand, one".