350368533504 has 352 divisors, whose sum is σ = 1136310988800. Its totient is φ = 105763553280.

The previous prime is 350368533457. The next prime is 350368533509. The reversal of 350368533504 is 405335863053.

350368533504 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 68 + 533 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 350368533504.

It is not an unprimeable number, because it can be changed into a prime (350368533509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84241377 + ... + 84245535.

Almost surely, 2^350368533504 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 350368533504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568155494400).

350368533504 is an abundant number, since it is smaller than the sum of its proper divisors (785942455296).

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

350368533504 is a wasteful number, since it uses less digits than its factorization.

350368533504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 350368533504 in words is "three hundred fifty billion, three hundred sixty-eight million, five hundred thirty-three thousand, five hundred four".