2305317116928 has 704 divisors, whose sum is σ = 7497766010880. Its totient is φ = 615908966400.

The previous prime is 2305317116881. The next prime is 2305317116933. The reversal of 2305317116928 is 8296117135032.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2508505653 + ... + 2508506571.

Almost surely, 2^{2305317116928} is an apocalyptic number.

2305317116928 is a gapful number since it is divisible by the number (28) 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 2305317116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748883005440).

2305317116928 is an abundant number, since it is smaller than the sum of its proper divisors (5192448893952).

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

2305317116928 is a wasteful number, since it uses less digits than its factorization.

2305317116928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 2305317116928 in words is "two trillion, three hundred five billion, three hundred seventeen million, one hundred sixteen thousand, nine hundred twenty-eight".