768383583381 has 24 divisors (see below), whose sum is σ = 1111225920896. Its totient is φ = 511638210720.

The previous prime is 768383583353. The next prime is 768383583403. The reversal of 768383583381 is 183385383867.

768383583381 is a `hidden beast` number, since 76 + 83 + 8 + 35 + 83 + 381 = 666.

768383583381 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 768383583381 - 2¹⁰ = 768383582357 is a prime.

It is a super-3 number, since 3×768383583381³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768383583311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46898811 + ... + 46915191.

Almost surely, 2^768383583381 is an apocalyptic number.

It is an amenable number.

768383583381 is a deficient number, since it is larger than the sum of its proper divisors (342842337515).

768383583381 is a wasteful number, since it uses less digits than its factorization.

768383583381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22353 (or 22350 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 768383583381 in words is "seven hundred sixty-eight billion, three hundred eighty-three million, five hundred eighty-three thousand, three hundred eighty-one".