352986221952001 has 32 divisors (see below), whose sum is σ = 389866132389888. Its totient is φ = 316930354957440.

The previous prime is 352986221951939. The next prime is 352986221952059. The reversal of 352986221952001 is 100259122689253.

It is a cyclic number.

It is not a de Polignac number, because 352986221952001 - 2¹⁹ = 352986221427713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (352986221952071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546448456 + ... + 547094038.

It is an arithmetic number, because the mean of its divisors is an integer number (12183316637184).

Almost surely, 2^{352986221952001} is an apocalyptic number.

It is an amenable number.

352986221952001 is a deficient number, since it is larger than the sum of its proper divisors (36879910437887).

352986221952001 is a wasteful number, since it uses less digits than its factorization.

352986221952001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647581.

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 352986221952001 in words is "three hundred fifty-two trillion, nine hundred eighty-six billion, two hundred twenty-one million, nine hundred fifty-two thousand, one".