351838591684321 has 27 divisors (see below), whose sum is σ = 410498426613843. Its totient is φ = 300681997418880.

The previous prime is 351838591684271. The next prime is 351838591684343. The reversal of 351838591684321 is 123486195838153.

It is a happy number.

The square root of 351838591684321 is 18757361.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 142941751430625 + 208896840253696 = 11955825^2 + 14453264^2 .

It is not a de Polignac number, because 351838591684321 - 2¹¹ = 351838591682273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (351838591684121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46349435236 + ... + 46349442826.

Almost surely, 2^{351838591684321} is an apocalyptic number.

351838591684321 is the 18757361-st square number.

351838591684321 is the 9378681-st centered octagonal number.

It is an amenable number.

351838591684321 is a deficient number, since it is larger than the sum of its proper divisors (58659834929522).

351838591684321 is an frugal number, since it uses more digits than its factorization.

351838591684321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15902 (or 7951 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 67.

The spelling of 351838591684321 in words is "three hundred fifty-one trillion, eight hundred thirty-eight billion, five hundred ninety-one million, six hundred eighty-four thousand, three hundred twenty-one".