618722413344 has 288 divisors, whose sum is σ = 2039637600000. Its totient is φ = 174263519232.

The previous prime is 618722413303. The next prime is 618722413369. The reversal of 618722413344 is 443314227816.

618722413344 is a `hidden beast` number, since 6 + 1 + 8 + 72 + 241 + 334 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 618722413344.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43721982 + ... + 43736130.

It is an arithmetic number, because the mean of its divisors is an integer number (7082075000).

Almost surely, 2^618722413344 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 618722413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019818800000).

618722413344 is an abundant number, since it is smaller than the sum of its proper divisors (1420915186656).

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

618722413344 is a wasteful number, since it uses less digits than its factorization.

618722413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14480 (or 14469 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 618722413344 in words is "six hundred eighteen billion, seven hundred twenty-two million, four hundred thirteen thousand, three hundred forty-four".