305942239045464 has 512 divisors, whose sum is σ = 982405722931200. Its totient is φ = 77288493219840.

The previous prime is 305942239045343. The next prime is 305942239045477. The reversal of 305942239045464 is 464540932249503.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 305942239045398 and 305942239045407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15664433379 + ... + 15664452909.

It is an arithmetic number, because the mean of its divisors is an integer number (1918761177600).

Almost surely, 2^{305942239045464} is an apocalyptic number.

305942239045464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305942239045464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491202861465600).

305942239045464 is an abundant number, since it is smaller than the sum of its proper divisors (676463483885736).

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

305942239045464 is a wasteful number, since it uses less digits than its factorization.

305942239045464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21983 (or 21979 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 60.

The spelling of 305942239045464 in words is "three hundred five trillion, nine hundred forty-two billion, two hundred thirty-nine million, forty-five thousand, four hundred sixty-four".