352579024896 has 576 divisors, whose sum is σ = 1173722659200. Its totient is φ = 93553754112.

The previous prime is 352579024891. The next prime is 352579024921. The reversal of 352579024896 is 698420975253.

It is a super-2 number, since 2×352579024896² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352579024891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303162811 + ... + 303163973.

It is an arithmetic number, because the mean of its divisors is an integer number (2037712950).

Almost surely, 2^352579024896 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 352579024896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586861329600).

352579024896 is an abundant number, since it is smaller than the sum of its proper divisors (821143634304).

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

352579024896 is a wasteful number, since it uses less digits than its factorization.

352579024896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 352579024896 in words is "three hundred fifty-two billion, five hundred seventy-nine million, twenty-four thousand, eight hundred ninety-six".