346678114663000 has 128 divisors (see below), whose sum is σ = 839215482019200. Its totient is φ = 133887028800000.

The previous prime is 346678114662991. The next prime is 346678114663031. The reversal of 346678114663000 is 366411876643.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3088472877 + ... + 3088585123.

It is an arithmetic number, because the mean of its divisors is an integer number (6556370953275).

Almost surely, 2^{346678114663000} is an apocalyptic number.

It is an amenable number.

346678114663000 is an abundant number, since it is smaller than the sum of its proper divisors (492537367356200).

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

346678114663000 is a wasteful number, since it uses less digits than its factorization.

346678114663000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218798 (or 218784 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 55.

The spelling of 346678114663000 in words is "three hundred forty-six trillion, six hundred seventy-eight billion, one hundred fourteen million, six hundred sixty-three thousand".