2918465648192 has 112 divisors (see below), whose sum is σ = 6240187103040. Its totient is φ = 1349788188672.

The previous prime is 2918465648191. The next prime is 2918465648201.

2918465648192 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2918465648191) 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, 170293448 + ... + 170310584.

Almost surely, 2^{2918465648192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2918465648192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120093551520).

2918465648192 is an abundant number, since it is smaller than the sum of its proper divisors (3321721454848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2918465648192 is a wasteful number, since it uses less digits than its factorization.

2918465648192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20468 (or 20458 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 65.

The spelling of 2918465648192 in words is "two trillion, nine hundred eighteen billion, four hundred sixty-five million, six hundred forty-eight thousand, one hundred ninety-two".