345882504028321 has 8 divisors (see below), whose sum is σ = 372493292771880. Its totient is φ = 319272349896192.

The previous prime is 345882504028253. The next prime is 345882504028337. The reversal of 345882504028321 is 123820405288543.

It can be written as a sum of positive squares in 4 ways, for example, as 28084318687296 + 317798185341025 = 5299464^2 + 17826895^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 345882504028321 - 2¹³ = 345882504020129 is a prime.

It is a super-3 number, since 3×345882504028321³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345882504028381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157520566 + ... + 159701263.

It is an arithmetic number, because the mean of its divisors is an integer number (46561661596485).

Almost surely, 2^{345882504028321} is an apocalyptic number.

It is an amenable number.

345882504028321 is a deficient number, since it is larger than the sum of its proper divisors (26610788743559).

345882504028321 is a wasteful number, since it uses less digits than its factorization.

345882504028321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317305715.

The product of its (nonzero) digits is 14745600, while the sum is 55.

The spelling of 345882504028321 in words is "three hundred forty-five trillion, eight hundred eighty-two billion, five hundred four million, twenty-eight thousand, three hundred twenty-one".