345986939760256 has 128 divisors (see below), whose sum is σ = 721227425587200. Its totient is φ = 165117730111488.

The previous prime is 345986939760221. The next prime is 345986939760313. The reversal of 345986939760256 is 652067939689543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 345986939760256.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159574825 + ... + 161728471.

It is an arithmetic number, because the mean of its divisors is an integer number (5634589262400).

Almost surely, 2^{345986939760256} 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 345986939760256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360613712793600).

345986939760256 is an abundant number, since it is smaller than the sum of its proper divisors (375240485826944).

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

345986939760256 is a wasteful number, since it uses less digits than its factorization.

345986939760256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154186 (or 2154174 counting only the distinct ones).

The product of its (nonzero) digits is 15872371200, while the sum is 82.

The spelling of 345986939760256 in words is "three hundred forty-five trillion, nine hundred eighty-six billion, nine hundred thirty-nine million, seven hundred sixty thousand, two hundred fifty-six".