906393811968 has 352 divisors, whose sum is σ = 2861476736000. Its totient is φ = 282593525760.

The previous prime is 906393811963. The next prime is 906393811993. The reversal of 906393811968 is 869118393609.

906393811968 is a `hidden beast` number, since 9 + 0 + 63 + 9 + 381 + 196 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906393811963) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 41488728 + ... + 41510568.

Almost surely, 2^906393811968 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 906393811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430738368000).

906393811968 is an abundant number, since it is smaller than the sum of its proper divisors (1955082924032).

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

906393811968 is a wasteful number, since it uses less digits than its factorization.

906393811968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21968 (or 21944 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 906393811968 in words is "nine hundred six billion, three hundred ninety-three million, eight hundred eleven thousand, nine hundred sixty-eight".