345632441456256 has 256 divisors, whose sum is σ = 927401476239360. Its totient is φ = 114048083275776.

The previous prime is 345632441456189. The next prime is 345632441456257. The reversal of 345632441456256 is 652654144236543.

It is a self number, because there is not a number n which added to its sum of digits gives 345632441456256.

It is not an unprimeable number, because it can be changed into a prime (345632441456257) by changing a digit.

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, 26329881565 + ... + 26329894691.

It is an arithmetic number, because the mean of its divisors is an integer number (3622662016560).

Almost surely, 2^{345632441456256} 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 345632441456256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463700738119680).

345632441456256 is an abundant number, since it is smaller than the sum of its proper divisors (581769034783104).

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

345632441456256 is a wasteful number, since it uses less digits than its factorization.

345632441456256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14951 (or 14939 counting only the distinct ones).

The product of its digits is 248832000, while the sum is 60.

The spelling of 345632441456256 in words is "three hundred forty-five trillion, six hundred thirty-two billion, four hundred forty-one million, four hundred fifty-six thousand, two hundred fifty-six".