2301738648768 has 560 divisors, whose sum is σ = 7890015760704. Its totient is φ = 657155358720.

The previous prime is 2301738648739. The next prime is 2301738648773. The reversal of 2301738648768 is 8678468371032.

2301738648768 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 73 + 86 + 487 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81327996 + ... + 81356292.

Almost surely, 2^{2301738648768} 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 2301738648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945007880352).

2301738648768 is an abundant number, since it is smaller than the sum of its proper divisors (5588277111936).

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

2301738648768 is a wasteful number, since it uses less digits than its factorization.

2301738648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28422 (or 28403 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 2301738648768 in words is "two trillion, three hundred one billion, seven hundred thirty-eight million, six hundred forty-eight thousand, seven hundred sixty-eight".