618393286368 has 1728 divisors, whose sum is σ = 2361965598720. Its totient is φ = 151389388800.

The previous prime is 618393286333. The next prime is 618393286429. The reversal of 618393286368 is 863682393816.

618393286368 is a `hidden beast` number, since 6 + 183 + 93 + 2 + 8 + 6 + 368 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 11667797830 + ... + 11667797882.

It is an arithmetic number, because the mean of its divisors is an integer number (1366878240).

Almost surely, 2^618393286368 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 618393286368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180982799360).

618393286368 is an abundant number, since it is smaller than the sum of its proper divisors (1743572312352).

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

618393286368 is a wasteful number, since it uses less digits than its factorization.

618393286368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 618393286368 in words is "six hundred eighteen billion, three hundred ninety-three million, two hundred eighty-six thousand, three hundred sixty-eight".