2381343261768 has 160 divisors (see below), whose sum is σ = 6803009136000. Its totient is φ = 778092531840.

The previous prime is 2381343261733. The next prime is 2381343261809. The reversal of 2381343261768 is 8671623431832.

It is a happy number.

2381343261768 is a `hidden beast` number, since 2 + 3 + 8 + 13 + 4 + 3 + 2 + 617 + 6 + 8 = 666.

It is a super-3 number, since 3×2381343261768³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6948358 + ... + 7283018.

It is an arithmetic number, because the mean of its divisors is an integer number (42518807100).

Almost surely, 2^{2381343261768} 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 2381343261768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401504568000).

2381343261768 is an abundant number, since it is smaller than the sum of its proper divisors (4421665874232).

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

2381343261768 is a wasteful number, since it uses less digits than its factorization.

2381343261768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334897 (or 334884 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 2381343261768 in words is "two trillion, three hundred eighty-one billion, three hundred forty-three million, two hundred sixty-one thousand, seven hundred sixty-eight".