351840160160 has 24 divisors (see below), whose sum is σ = 831222378756. Its totient is φ = 140736064000.

The previous prime is 351840160151. The next prime is 351840160163. The reversal of 351840160160 is 61061048153.

It can be written as a sum of positive squares in 2 ways, for example, as 340350892816 + 11489267344 = 583396^2 + 107188^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 351840160160.

It is not an unprimeable number, because it can be changed into a prime (351840160163) 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, 1099500341 + ... + 1099500660.

Almost surely, 2^351840160160 is an apocalyptic number.

It is an amenable number.

351840160160 is an abundant number, since it is smaller than the sum of its proper divisors (479382218596).

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

351840160160 is a wasteful number, since it uses less digits than its factorization.

351840160160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199001016 (or 2199001008 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

It can be divided in two parts, 351840 and 160160, that added together give a cube (512000 = 80³).

The spelling of 351840160160 in words is "three hundred fifty-one billion, eight hundred forty million, one hundred sixty thousand, one hundred sixty".