305814022108768 has 96 divisors (see below), whose sum is σ = 629670194112960. Its totient is φ = 145928194621440.

The previous prime is 305814022108759. The next prime is 305814022108801. The reversal of 305814022108768 is 867801220418503.

It is a super-2 number, since 2×305814022108768² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 673941096 + ... + 674394712.

It is an arithmetic number, because the mean of its divisors is an integer number (6559064522010).

Almost surely, 2^{305814022108768} 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 305814022108768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314835097056480).

305814022108768 is an abundant number, since it is smaller than the sum of its proper divisors (323856172004192).

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

305814022108768 is a wasteful number, since it uses less digits than its factorization.

305814022108768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455720 (or 455712 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 55.

The spelling of 305814022108768 in words is "three hundred five trillion, eight hundred fourteen billion, twenty-two million, one hundred eight thousand, seven hundred sixty-eight".