346406163101361 has 64 divisors (see below), whose sum is σ = 572950540800000. Its totient is φ = 205031211215040.

The previous prime is 346406163101293. The next prime is 346406163101389. The reversal of 346406163101361 is 163101361604643.

346406163101361 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 0 + 6 + 1 + 631 + 0 + 1 + 3 + 6 + 1 = 666.

It is not a de Polignac number, because 346406163101361 - 2³¹ = 346404015617713 is a prime.

It is a super-3 number, since 3×346406163101361³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (346406163102361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86924515 + ... + 90822263.

It is an arithmetic number, because the mean of its divisors is an integer number (8952352200000).

Almost surely, 2^{346406163101361} is an apocalyptic number.

It is an amenable number.

346406163101361 is a deficient number, since it is larger than the sum of its proper divisors (226544377698639).

346406163101361 is a wasteful number, since it uses less digits than its factorization.

346406163101361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904771 (or 3904765 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 346406163101361 in words is "three hundred forty-six trillion, four hundred six billion, one hundred sixty-three million, one hundred one thousand, three hundred sixty-one".