346313012661 has 288 divisors, whose sum is σ = 682707916800. Its totient is φ = 163980495360.

The previous prime is 346313012657. The next prime is 346313012663. The reversal of 346313012661 is 166210313643.

346313012661 is a `hidden beast` number, since 3 + 4 + 631 + 3 + 0 + 12 + 6 + 6 + 1 = 666.

It is not a de Polignac number, because 346313012661 - 2² = 346313012657 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346313012663) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1287408835 + ... + 1287409103.

It is an arithmetic number, because the mean of its divisors is an integer number (2370513600).

Almost surely, 2^346313012661 is an apocalyptic number.

It is an amenable number.

346313012661 is a deficient number, since it is larger than the sum of its proper divisors (336394904139).

346313012661 is a wasteful number, since it uses less digits than its factorization.

346313012661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 346313012661 in words is "three hundred forty-six billion, three hundred thirteen million, twelve thousand, six hundred sixty-one".