346980736513 has 16 divisors (see below), whose sum is σ = 374519275200. Its totient is φ = 320385611520.

The previous prime is 346980736489. The next prime is 346980736559. The reversal of 346980736513 is 315637089643.

It is a cyclic number.

It is not a de Polignac number, because 346980736513 - 2³³ = 338390801921 is a prime.

It is a super-2 number, since 2×346980736513² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (346980736213) 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 15 ways as a sum of consecutive naturals, for example, 575245 + ... + 1012357.

It is an arithmetic number, because the mean of its divisors is an integer number (23407454700).

Almost surely, 2^346980736513 is an apocalyptic number.

It is an amenable number.

346980736513 is a deficient number, since it is larger than the sum of its proper divisors (27538538687).

346980736513 is a wasteful number, since it uses less digits than its factorization.

346980736513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438192.

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 346980736513 in words is "three hundred forty-six billion, nine hundred eighty million, seven hundred thirty-six thousand, five hundred thirteen".