350899847424 has 729 divisors, whose sum is σ = 1235022868989. Its totient is φ = 95537111040.

The previous prime is 350899847413. The next prime is 350899847443. The reversal of 350899847424 is 424748998053.

The square root of 350899847424 is 592368.

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

350899847424 is a `hidden beast` number, since 3 + 5 + 0 + 89 + 98 + 47 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16908321024 + 333991526400 = 130032^2 + 577920^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8160461547 + ... + 8160461589.

Almost surely, 2^350899847424 is an apocalyptic number.

350899847424 is the 592368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350899847424

350899847424 is an abundant number, since it is smaller than the sum of its proper divisors (884123021565).

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

350899847424 is an equidigital number, since it uses as much as digits as its factorization.

350899847424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 350899847424 in words is "three hundred fifty billion, eight hundred ninety-nine million, eight hundred forty-seven thousand, four hundred twenty-four".