345668284416 has 936 divisors, whose sum is σ = 1202999719680. Its totient is φ = 87917985792.

The previous prime is 345668284399. The next prime is 345668284427. The reversal of 345668284416 is 614482866543.

It is a super-2 number, since 2×345668284416² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4375547865 + ... + 4375547943.

Almost surely, 2^345668284416 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 345668284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601499859840).

345668284416 is an abundant number, since it is smaller than the sum of its proper divisors (857331435264).

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

345668284416 is a wasteful number, since it uses less digits than its factorization.

345668284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 147 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 57.

The spelling of 345668284416 in words is "three hundred forty-five billion, six hundred sixty-eight million, two hundred eighty-four thousand, four hundred sixteen".