891302813321648 has 640 divisors, whose sum is σ = 2342856047616000. Its totient is φ = 318778593509376.

The previous prime is 891302813321581. The next prime is 891302813321653. The reversal of 891302813321648 is 846123318203198.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23110484861 + ... + 23110523427.

It is an arithmetic number, because the mean of its divisors is an integer number (3660712574400).

Almost surely, 2^{891302813321648} 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 891302813321648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171428023808000).

891302813321648 is an abundant number, since it is smaller than the sum of its proper divisors (1451553234294352).

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

891302813321648 is a wasteful number, since it uses less digits than its factorization.

891302813321648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39149 (or 39143 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 59.

The spelling of 891302813321648 in words is "eight hundred ninety-one trillion, three hundred two billion, eight hundred thirteen million, three hundred twenty-one thousand, six hundred forty-eight".