345651612573312 has 96 divisors (see below), whose sum is σ = 995376139224480. Its totient is φ = 115132918952448.

The previous prime is 345651612573287. The next prime is 345651612573367. The reversal of 345651612573312 is 213375216156543.

345651612573312 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 5 + 1 + 61 + 2 + 573 + 3 + 1 + 2 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 108170938 + ... + 111320505.

It is an arithmetic number, because the mean of its divisors is an integer number (10368501450255).

Almost surely, 2^{345651612573312} is an apocalyptic number.

345651612573312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345651612573312 is an abundant number, since it is smaller than the sum of its proper divisors (649724526651168).

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

345651612573312 is a wasteful number, since it uses less digits than its factorization.

345651612573312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219492830 (or 219492815 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The spelling of 345651612573312 in words is "three hundred forty-five trillion, six hundred fifty-one billion, six hundred twelve million, five hundred seventy-three thousand, three hundred twelve".