618464222464816 has 320 divisors, whose sum is σ = 1503819085418496. Its totient is φ = 239901235200000.

The previous prime is 618464222464807. The next prime is 618464222464843.

618464222464816 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74756942856 + ... + 74756951128.

Almost surely, 2^{618464222464816} 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 618464222464816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751909542709248).

618464222464816 is an abundant number, since it is smaller than the sum of its proper divisors (885354862953680).

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

618464222464816 is a wasteful number, since it uses less digits than its factorization.

618464222464816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13260 (or 13254 counting only the distinct ones).

The product of its digits is 169869312, while the sum is 64.

The spelling of 618464222464816 in words is "six hundred eighteen trillion, four hundred sixty-four billion, two hundred twenty-two million, four hundred sixty-four thousand, eight hundred sixteen".