991047568896 has 720 divisors, whose sum is σ = 3709373251584. Its totient is φ = 249080832000.

The previous prime is 991047568837. The next prime is 991047568913. The reversal of 991047568896 is 698865740199.

991047568896 is a `hidden beast` number, since 9 + 9 + 1 + 0 + 475 + 68 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120988161 + ... + 120996351.

Almost surely, 2^991047568896 is an apocalyptic number.

991047568896 is a gapful number since it is divisible by the number (96) 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 991047568896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854686625792).

991047568896 is an abundant number, since it is smaller than the sum of its proper divisors (2718325682688).

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

991047568896 is a wasteful number, since it uses less digits than its factorization.

991047568896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 991047568896 in words is "nine hundred ninety-one billion, forty-seven million, five hundred sixty-eight thousand, eight hundred ninety-six".