2316005703648 has 960 divisors, whose sum is σ = 8733267873792. Its totient is φ = 585670901760.

The previous prime is 2316005703601. The next prime is 2316005703689. The reversal of 2316005703648 is 8463075006132.

2316005703648 is a `hidden beast` number, since 2 + 3 + 1 + 6 + 0 + 0 + 570 + 36 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 826258215 + ... + 826261017.

Almost surely, 2^{2316005703648} is an apocalyptic number.

2316005703648 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 2316005703648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366633936896).

2316005703648 is an abundant number, since it is smaller than the sum of its proper divisors (6417262170144).

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

2316005703648 is a wasteful number, since it uses less digits than its factorization.

2316005703648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 2316005 and 703648, that added together give a triangular number (3019653 = T₂₄₅₇).

The spelling of 2316005703648 in words is "two trillion, three hundred sixteen billion, five million, seven hundred three thousand, six hundred forty-eight".