352033680048959 has 32 divisors (see below), whose sum is σ = 363364816389120. Its totient is φ = 340801203600000.

The previous prime is 352033680048929. The next prime is 352033680049003. The reversal of 352033680048959 is 959840086330253.

It is a cyclic number.

It is not a de Polignac number, because 352033680048959 - 2²⁸ = 352033411613503 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 352033680048895 and 352033680048904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352033680048929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49228591034 + ... + 49228598184.

It is an arithmetic number, because the mean of its divisors is an integer number (11355150512160).

Almost surely, 2^{352033680048959} is an apocalyptic number.

352033680048959 is a deficient number, since it is larger than the sum of its proper divisors (11331136340161).

352033680048959 is a wasteful number, since it uses less digits than its factorization.

352033680048959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12191.

The product of its (nonzero) digits is 167961600, while the sum is 65.

The spelling of 352033680048959 in words is "three hundred fifty-two trillion, thirty-three billion, six hundred eighty million, forty-eight thousand, nine hundred fifty-nine".