618738448416 has 288 divisors, whose sum is σ = 1846884432960. Its totient is φ = 181099100160.

The previous prime is 618738448411. The next prime is 618738448417. The reversal of 618738448416 is 614844837816.

It is a self number, because there is not a number n which added to its sum of digits gives 618738448416.

It is not an unprimeable number, because it can be changed into a prime (618738448411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59735910 + ... + 59746266.

It is an arithmetic number, because the mean of its divisors is an integer number (6412793170).

Almost surely, 2^618738448416 is an apocalyptic number.

618738448416 is a gapful number since it is divisible by the number (66) 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 618738448416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923442216480).

618738448416 is an abundant number, since it is smaller than the sum of its proper divisors (1228145984544).

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

618738448416 is a wasteful number, since it uses less digits than its factorization.

618738448416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10568 (or 10549 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 60.

The spelling of 618738448416 in words is "six hundred eighteen billion, seven hundred thirty-eight million, four hundred forty-eight thousand, four hundred sixteen".