604212505344 has 1296 divisors, whose sum is σ = 2292989287680. Its totient is φ = 151747706880.

The previous prime is 604212505291. The next prime is 604212505357. The reversal of 604212505344 is 443505212406.

604212505344 is a `hidden beast` number, since 60 + 4 + 2 + 1 + 250 + 5 + 344 = 666.

It is a super-2 number, since 2×604212505344² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 604212505299 and 604212505308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1825415259 + ... + 1825415589.

Almost surely, 2^604212505344 is an apocalyptic number.

604212505344 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 604212505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146494643840).

604212505344 is an abundant number, since it is smaller than the sum of its proper divisors (1688776782336).

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

604212505344 is a wasteful number, since it uses less digits than its factorization.

604212505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 604212505344 in words is "six hundred four billion, two hundred twelve million, five hundred five thousand, three hundred forty-four".