575146291456 has 243 divisors, whose sum is σ = 1313369547399. Its totient is φ = 251176780800.

The previous prime is 575146291399. The next prime is 575146291483. The reversal of 575146291456 is 654192641575.

The square root of 575146291456 is 758384.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (9072000) is a multiple of the sum of its prime factors (378).

It is a junction number, because it is equal to n+sod(n) for n = 575146291397 and 575146291406.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 4137743035 + ... + 4137743173.

Almost surely, 2^575146291456 is an apocalyptic number.

575146291456 is the 758384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575146291456

575146291456 is an abundant number, since it is smaller than the sum of its proper divisors (738223255943).

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

575146291456 is an equidigital number, since it uses as much as digits as its factorization.

575146291456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 183 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 55.

The spelling of 575146291456 in words is "five hundred seventy-five billion, one hundred forty-six million, two hundred ninety-one thousand, four hundred fifty-six".