348505805664 has 48 divisors (see below), whose sum is σ = 1016475269040. Its totient is φ = 116168601600.

The previous prime is 348505805647. The next prime is 348505805677. The reversal of 348505805664 is 466508505843.

348505805664 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 0 + 580 + 56 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 348505805664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201680737 + ... + 201682464.

It is an arithmetic number, because the mean of its divisors is an integer number (21176568105).

Almost surely, 2^348505805664 is an apocalyptic number.

It is an amenable number.

348505805664 is an abundant number, since it is smaller than the sum of its proper divisors (667969463376).

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

348505805664 is a wasteful number, since it uses less digits than its factorization.

348505805664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403363220 (or 403363206 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 348505805664 in words is "three hundred forty-eight billion, five hundred five million, eight hundred five thousand, six hundred sixty-four".