968638000905 has 16 divisors (see below), whose sum is σ = 1722023112960. Its totient is φ = 516606933744.

The previous prime is 968638000901. The next prime is 968638000907. The reversal of 968638000905 is 509000836869.

968638000905 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 968638000905 - 2² = 968638000901 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (968638000901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3587548017 + ... + 3587548286.

It is an arithmetic number, because the mean of its divisors is an integer number (107626444560).

Almost surely, 2^968638000905 is an apocalyptic number.

It is an amenable number.

968638000905 is a deficient number, since it is larger than the sum of its proper divisors (753385112055).

968638000905 is a wasteful number, since it uses less digits than its factorization.

968638000905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7175096317 (or 7175096311 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 968638000905 in words is "nine hundred sixty-eight billion, six hundred thirty-eight million, nine hundred five", and thus it is an aban number.