352120520144 has 20 divisors (see below), whose sum is σ = 682271693796. Its totient is φ = 176050405632.

The previous prime is 352120520111. The next prime is 352120520149. The reversal of 352120520144 is 441025021253.

It can be written as a sum of positive squares in 2 ways, for example, as 241572250000 + 110548270144 = 491500^2 + 332488^2 .

It is a super-3 number, since 3×352120520144³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352120520149) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 316709 + ... + 896964.

Almost surely, 2^352120520144 is an apocalyptic number.

It is an amenable number.

352120520144 is a deficient number, since it is larger than the sum of its proper divisors (330151173652).

352120520144 is a wasteful number, since it uses less digits than its factorization.

352120520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231814 (or 1231808 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 352120520144 its reverse (441025021253), we get a palindrome (793145541397).

The spelling of 352120520144 in words is "three hundred fifty-two billion, one hundred twenty million, five hundred twenty thousand, one hundred forty-four".