346534445461311 has 48 divisors (see below), whose sum is σ = 553040680008960. Its totient is φ = 207978394440960.

The previous prime is 346534445461307. The next prime is 346534445461327. The reversal of 346534445461311 is 113164544435643.

346534445461311 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 3 + 4 + 4 + 4 + 5 + 4 + 613 + 11 = 666.

It is not a de Polignac number, because 346534445461311 - 2² = 346534445461307 is a prime.

It is a super-2 number, since 2×346534445461311² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346534445461361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885223420 + ... + 885614798.

It is an arithmetic number, because the mean of its divisors is an integer number (11521680833520).

Almost surely, 2^{346534445461311} is an apocalyptic number.

346534445461311 is a deficient number, since it is larger than the sum of its proper divisors (206506234547649).

346534445461311 is a wasteful number, since it uses less digits than its factorization.

346534445461311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643036 (or 643033 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

Adding to 346534445461311 its reverse (113164544435643), we get a palindrome (459698989896954).

The spelling of 346534445461311 in words is "three hundred forty-six trillion, five hundred thirty-four billion, four hundred forty-five million, four hundred sixty-one thousand, three hundred eleven".