574147635921664 has 288 divisors, whose sum is σ = 1423407012249600. Its totient is φ = 225557510492160.

The previous prime is 574147635921659. The next prime is 574147635921751. The reversal of 574147635921664 is 466129536741475.

It is a junction number, because it is equal to n+sod(n) for n = 574147635921593 and 574147635921602.

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 31 ways as a sum of consecutive naturals, for example, 7345101909 + ... + 7345180075.

It is an arithmetic number, because the mean of its divisors is an integer number (4942385459200).

Almost surely, 2^{574147635921664} 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 574147635921664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711703506124800).

574147635921664 is an abundant number, since it is smaller than the sum of its proper divisors (849259376327936).

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

574147635921664 is a wasteful number, since it uses less digits than its factorization.

574147635921664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85199 (or 85185 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 70.

The spelling of 574147635921664 in words is "five hundred seventy-four trillion, one hundred forty-seven billion, six hundred thirty-five million, nine hundred twenty-one thousand, six hundred sixty-four".