346355664864 has 96 divisors (see below), whose sum is σ = 995497413120. Its totient is φ = 104568883200.

The previous prime is 346355664833. The next prime is 346355664869. The reversal of 346355664864 is 468466553643.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 346355664798 and 346355664807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346355664869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318969 + ... + 891320.

It is an arithmetic number, because the mean of its divisors is an integer number (10369764720).

Almost surely, 2^346355664864 is an apocalyptic number.

It is an amenable number.

346355664864 is an abundant number, since it is smaller than the sum of its proper divisors (649141748256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

346355664864 is a wasteful number, since it uses less digits than its factorization.

346355664864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210584 (or 1210576 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 60.

The spelling of 346355664864 in words is "three hundred forty-six billion, three hundred fifty-five million, six hundred sixty-four thousand, eight hundred sixty-four".