346315313664 has 240 divisors, whose sum is σ = 1017915248064. Its totient is φ = 113318092800.

The previous prime is 346315313621. The next prime is 346315313671. The reversal of 346315313664 is 466313513643.

It is a happy number.

346315313664 is a `hidden beast` number, since 3 + 4 + 631 + 5 + 3 + 1 + 3 + 6 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194230917 + ... + 194232699.

Almost surely, 2^346315313664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346315313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508957624032).

346315313664 is an abundant number, since it is smaller than the sum of its proper divisors (671599934400).

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

346315313664 is a wasteful number, since it uses less digits than its factorization.

346315313664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2540 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The spelling of 346315313664 in words is "three hundred forty-six billion, three hundred fifteen million, three hundred thirteen thousand, six hundred sixty-four".