350970886603089 has 27 divisors (see below), whose sum is σ = 510395362637979. Its totient is φ = 232404706203120.

The previous prime is 350970886603061. The next prime is 350970886603109. The reversal of 350970886603089 is 980306688079053.

The square root of 350970886603089 is 18734217.

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

350970886603089 is a `hidden beast` number, since 3 + 5 + 0 + 9 + 7 + 0 + 8 + 8 + 6 + 603 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41118655738689 + 309852230864400 = 6412383^2 + 17602620^2 .

It is not a de Polignac number, because 350970886603089 - 2⁷ = 350970886602961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (350970886603049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8374174044 + ... + 8374215954.

Almost surely, 2^{350970886603089} is an apocalyptic number.

350970886603089 is the 18734217-th square number.

350970886603089 is the 9367109-th centered octagonal number.

It is an amenable number.

350970886603089 is a deficient number, since it is larger than the sum of its proper divisors (159424476034890).

350970886603089 is an frugal number, since it uses more digits than its factorization.

350970886603089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84126 (or 42063 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 350970886603089 in words is "three hundred fifty trillion, nine hundred seventy billion, eight hundred eighty-six million, six hundred three thousand, eighty-nine".