345706646656 has 64 divisors (see below), whose sum is σ = 795214586880. Its totient is φ = 146632531968.

The previous prime is 345706646639. The next prime is 345706646723. The reversal of 345706646656 is 656646607543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 345706646656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1901920 + ... + 2075743.

It is an arithmetic number, because the mean of its divisors is an integer number (12425227920).

Almost surely, 2^345706646656 is an apocalyptic number.

It is an amenable number.

345706646656 is an abundant number, since it is smaller than the sum of its proper divisors (449507940224).

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

345706646656 is an equidigital number, since it uses as much as digits as its factorization.

345706646656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977781 (or 3977769 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 58.

The spelling of 345706646656 in words is "three hundred forty-five billion, seven hundred six million, six hundred forty-six thousand, six hundred fifty-six".