353328168960 has 540 divisors, whose sum is σ = 1364188977228. Its totient is φ = 86973087744.

The previous prime is 353328168943. The next prime is 353328168967. The reversal of 353328168960 is 69861823353.

It is a happy number.

353328168960 is a `hidden beast` number, since 3 + 533 + 2 + 8 + 16 + 8 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86973087744 + 266355081216 = 294912^2 + 516096^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 353328168897 and 353328168906.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 9984 × 3840 × 9216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353328168967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27179089914 + ... + 27179089926.

Almost surely, 2^353328168960 is an apocalyptic number.

353328168960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353328168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682094488614).

353328168960 is an abundant number, since it is smaller than the sum of its proper divisors (1010860808268).

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

353328168960 is an frugal number, since it uses more digits than its factorization.

353328168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 353328168960 in words is "three hundred fifty-three billion, three hundred twenty-eight million, one hundred sixty-eight thousand, nine hundred sixty".