352442324120399 has 48 divisors (see below), whose sum is σ = 389699114424480. Its totient is φ = 317453397381120.

The previous prime is 352442324120357. The next prime is 352442324120407. The reversal of 352442324120399 is 993021423244253.

It is not a de Polignac number, because 352442324120399 - 2¹² = 352442324116303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 352442324120399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352442324120309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12665466524 + ... + 12665494350.

It is an arithmetic number, because the mean of its divisors is an integer number (8118731550510).

Almost surely, 2^{352442324120399} is an apocalyptic number.

352442324120399 is a deficient number, since it is larger than the sum of its proper divisors (37256790304081).

352442324120399 is a wasteful number, since it uses less digits than its factorization.

352442324120399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34460 (or 34407 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 53.

The spelling of 352442324120399 in words is "three hundred fifty-two trillion, four hundred forty-two billion, three hundred twenty-four million, one hundred twenty thousand, three hundred ninety-nine".