346106431046528 has 64 divisors (see below), whose sum is σ = 689845363696320. Its totient is φ = 172968781363200.

The previous prime is 346106431046413. The next prime is 346106431046569. The reversal of 346106431046528 is 825640134601643.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×346106431046528² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 346106431046528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5977526378 + ... + 5977584278.

It is an arithmetic number, because the mean of its divisors is an integer number (10778833807755).

Almost surely, 2^{346106431046528} is an apocalyptic number.

It is an amenable number.

346106431046528 is a deficient number, since it is larger than the sum of its proper divisors (343738932649792).

346106431046528 is a wasteful number, since it uses less digits than its factorization.

346106431046528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79895 (or 79883 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 53.

The spelling of 346106431046528 in words is "three hundred forty-six trillion, one hundred six billion, four hundred thirty-one million, forty-six thousand, five hundred twenty-eight".