618511138704 has 180 divisors, whose sum is σ = 1826942089180. Its totient is φ = 202788437760.

The previous prime is 618511138673. The next prime is 618511138709. The reversal of 618511138704 is 407831115816.

618511138704 is a `hidden beast` number, since 61 + 8 + 511 + 1 + 3 + 8 + 70 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23885084304 + 594626054400 = 154548^2 + 771120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 618511138704.

It is not an unprimeable number, because it can be changed into a prime (618511138709) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6355242 + ... + 6451830.

Almost surely, 2^618511138704 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 618511138704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913471044590).

618511138704 is an abundant number, since it is smaller than the sum of its proper divisors (1208430950476).

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

618511138704 is an frugal number, since it uses more digits than its factorization.

618511138704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96682 (or 96655 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 618511138704 in words is "six hundred eighteen billion, five hundred eleven million, one hundred thirty-eight thousand, seven hundred four".