5845968999936 has 1920 divisors, whose sum is σ = 21393944985600. Its totient is φ = 1565133373440.

The previous prime is 5845968999907. The next prime is 5845968999961. The reversal of 5845968999936 is 6399998695485.

It is a happy number.

5845968999936 is a `hidden beast` number, since 5 + 8 + 4 + 596 + 8 + 9 + 9 + 9 + 9 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46031251905 + ... + 46031252031.

It is an arithmetic number, because the mean of its divisors is an integer number (11142679680).

Almost surely, 2^{5845968999936} 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 5845968999936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10696972492800).

5845968999936 is an abundant number, since it is smaller than the sum of its proper divisors (15547975985664).

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

5845968999936 is a wasteful number, since it uses less digits than its factorization.

5845968999936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 242 counting only the distinct ones).

The product of its digits is 40814668800, while the sum is 90.

The spelling of 5845968999936 in words is "five trillion, eight hundred forty-five billion, nine hundred sixty-eight million, nine hundred ninety-nine thousand, nine hundred thirty-six".