604645591104 has 280 divisors, whose sum is σ = 1900664936280. Its totient is φ = 189405609984.

The previous prime is 604645591103. The next prime is 604645591127. The reversal of 604645591104 is 401195546406.

604645591104 is a `hidden beast` number, since 6 + 0 + 4 + 6 + 45 + 591 + 10 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104230831104 + 500414760000 = 322848^2 + 707400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 604645591104.

It is not an unprimeable number, because it can be changed into a prime (604645591103) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 62477914 + ... + 62487590.

Almost surely, 2^604645591104 is an apocalyptic number.

604645591104 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 604645591104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950332468140).

604645591104 is an abundant number, since it is smaller than the sum of its proper divisors (1296019345176).

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

604645591104 is a wasteful number, since it uses less digits than its factorization.

604645591104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10427 (or 10408 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 604645591104 in words is "six hundred four billion, six hundred forty-five million, five hundred ninety-one thousand, one hundred four".