618590095816 has 128 divisors (see below), whose sum is σ = 1522586419200. Its totient is φ = 228260920320.

The previous prime is 618590095813. The next prime is 618590095889.

618590095816 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (618590095813) 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 31 ways as a sum of consecutive naturals, for example, 73227705 + ... + 73236151.

It is an arithmetic number, because the mean of its divisors is an integer number (11895206400).

Almost surely, 2^618590095816 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 618590095816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761293209600).

618590095816 is an abundant number, since it is smaller than the sum of its proper divisors (903996323384).

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

618590095816 is a wasteful number, since it uses less digits than its factorization.

618590095816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14747 (or 14743 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 58.

The spelling of 618590095816 in words is "six hundred eighteen billion, five hundred ninety million, ninety-five thousand, eight hundred sixteen".