618085395072 has 192 divisors, whose sum is σ = 1895877009000. Its totient is φ = 192606830592.

The previous prime is 618085395061. The next prime is 618085395091. The reversal of 618085395072 is 270593580816.

618085395072 is a `hidden beast` number, since 6 + 1 + 80 + 8 + 53 + 9 + 507 + 2 = 666.

618085395072 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 491423432256 + 126661962816 = 701016^2 + 355896^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2812108 + ... + 3023924.

Almost surely, 2^618085395072 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 618085395072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947938504500).

618085395072 is an abundant number, since it is smaller than the sum of its proper divisors (1277791613928).

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

618085395072 is a wasteful number, since it uses less digits than its factorization.

618085395072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212003 (or 211988 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 618085395072 in words is "six hundred eighteen billion, eighty-five million, three hundred ninety-five thousand, seventy-two".