618513315816 has 144 divisors (see below), whose sum is σ = 1716710587200. Its totient is φ = 185563664000.

The previous prime is 618513315793. The next prime is 618513315881.

618513315816 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29613265 + ... + 29634143.

It is an arithmetic number, because the mean of its divisors is an integer number (11921601300).

Almost surely, 2^618513315816 is an apocalyptic number.

618513315816 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 618513315816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858355293600).

618513315816 is an abundant number, since it is smaller than the sum of its proper divisors (1098197271384).

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

618513315816 is a wasteful number, since it uses less digits than its factorization.

618513315816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21112 (or 20996 counting only the distinct ones).

The product of its digits is 518400, while the sum is 48.

The spelling of 618513315816 in words is "six hundred eighteen billion, five hundred thirteen million, three hundred fifteen thousand, eight hundred sixteen".