352121261568 has 80 divisors (see below), whose sum is σ = 940731927696. Its totient is φ = 117041070080.

The previous prime is 352121261537. The next prime is 352121261599. The reversal of 352121261568 is 865162121253.

It is an interprime number because it is at equal distance from previous prime (352121261537) and next prime (352121261599).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217498 + ... + 866918.

Almost surely, 2^352121261568 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 352121261568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470365963848).

352121261568 is an abundant number, since it is smaller than the sum of its proper divisors (588610666128).

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

352121261568 is an equidigital number, since it uses as much as digits as its factorization.

352121261568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649795 (or 649779 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The spelling of 352121261568 in words is "three hundred fifty-two billion, one hundred twenty-one million, two hundred sixty-one thousand, five hundred sixty-eight".