574668349803408 has 960 divisors, whose sum is σ = 1865123425651200. Its totient is φ = 152341320499200.

The previous prime is 574668349803403. The next prime is 574668349803419. The reversal of 574668349803408 is 804308943866475.

It is a self number, because there is not a number n which added to its sum of digits gives 574668349803408.

It is not an unprimeable number, because it can be changed into a prime (574668349803403) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87375449016 + ... + 87375455592.

It is an arithmetic number, because the mean of its divisors is an integer number (1942836901720).

Almost surely, 2^{574668349803408} 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 574668349803408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932561712825600).

574668349803408 is an abundant number, since it is smaller than the sum of its proper divisors (1290455075847792).

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

574668349803408 is a wasteful number, since it uses less digits than its factorization.

574668349803408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6949 (or 6910 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 75.

The spelling of 574668349803408 in words is "five hundred seventy-four trillion, six hundred sixty-eight billion, three hundred forty-nine million, eight hundred three thousand, four hundred eight".