3918465648192 has 112 divisors (see below), whose sum is σ = 10594773872640. Its totient is φ = 1277570314752.

The previous prime is 3918465648191. The next prime is 3918465648199. The reversal of 3918465648192 is 2918465648193.

It is not an unprimeable number, because it can be changed into a prime (3918465648191) 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, 14475753 + ... + 14743959.

Almost surely, 2^{3918465648192} is an apocalyptic number.

3918465648192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3918465648192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297386936320).

3918465648192 is an abundant number, since it is smaller than the sum of its proper divisors (6676308224448).

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

3918465648192 is a wasteful number, since it uses less digits than its factorization.

3918465648192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269888 (or 269878 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 66.

Subtracting from 3918465648192 its reverse (2918465648193), we obtain a palindrome (999999999999).

The spelling of 3918465648192 in words is "three trillion, nine hundred eighteen billion, four hundred sixty-five million, six hundred forty-eight thousand, one hundred ninety-two".