618019801344 has 720 divisors, whose sum is σ = 2085723763200. Its totient is φ = 180317491200.

The previous prime is 618019801327. The next prime is 618019801363. The reversal of 618019801344 is 443108910816.

618019801344 is a `hidden beast` number, since 618 + 0 + 19 + 8 + 0 + 13 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 618019801344.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3137156254 + ... + 3137156450.

It is an arithmetic number, because the mean of its divisors is an integer number (2896838560).

Almost surely, 2^618019801344 is an apocalyptic number.

618019801344 is a gapful number since it is divisible by the number (64) 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 618019801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042861881600).

618019801344 is an abundant number, since it is smaller than the sum of its proper divisors (1467703961856).

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

618019801344 is an equidigital number, since it uses as much as digits as its factorization.

618019801344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 618019801344 in words is "six hundred eighteen billion, nineteen million, eight hundred one thousand, three hundred forty-four".