575455074829248 has 224 divisors, whose sum is σ = 1541424331399680. Its totient is φ = 189446586531840.

The previous prime is 575455074829247. The next prime is 575455074829267. The reversal of 575455074829248 is 842928470554575.

It is a super-2 number, since 2×575455074829248² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 575455074829248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575455074829247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73147965411 + ... + 73147973277.

It is an arithmetic number, because the mean of its divisors is an integer number (6881358622320).

Almost surely, 2^{575455074829248} 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 575455074829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770712165699840).

575455074829248 is an abundant number, since it is smaller than the sum of its proper divisors (965969256570432).

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

575455074829248 is a wasteful number, since it uses less digits than its factorization.

575455074829248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12315 (or 12305 counting only the distinct ones).

The product of its (nonzero) digits is 4515840000, while the sum is 75.

The spelling of 575455074829248 in words is "five hundred seventy-five trillion, four hundred fifty-five billion, seventy-four million, eight hundred twenty-nine thousand, two hundred forty-eight".