2231959728768 has 512 divisors, whose sum is σ = 8031633408000. Its totient is φ = 531496857600.

The previous prime is 2231959728743. The next prime is 2231959728793. The reversal of 2231959728768 is 8678279591322.

It is an interprime number because it is at equal distance from previous prime (2231959728743) and next prime (2231959728793).

It is a super-3 number, since 3×2231959728768³ (a number of 38 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 17351473 + ... + 17479631.

It is an arithmetic number, because the mean of its divisors is an integer number (15686784000).

Almost surely, 2^{2231959728768} is an apocalyptic number.

2231959728768 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 2231959728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015816704000).

2231959728768 is an abundant number, since it is smaller than the sum of its proper divisors (5799673679232).

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

2231959728768 is a wasteful number, since it uses less digits than its factorization.

2231959728768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128244 (or 128232 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 69.

The spelling of 2231959728768 in words is "two trillion, two hundred thirty-one billion, nine hundred fifty-nine million, seven hundred twenty-eight thousand, seven hundred sixty-eight".