891064608336 has 240 divisors, whose sum is σ = 2926616382976. Its totient is φ = 247787092224.

The previous prime is 891064608311. The next prime is 891064608419. The reversal of 891064608336 is 633806460198.

It is a super-2 number, since 2×891064608336² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 12230031 + ... + 12302673.

Almost surely, 2^891064608336 is an apocalyptic number.

891064608336 is a gapful number since it is divisible by the number (86) 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 891064608336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463308191488).

891064608336 is an abundant number, since it is smaller than the sum of its proper divisors (2035551774640).

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

891064608336 is a wasteful number, since it uses less digits than its factorization.

891064608336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72990 (or 72981 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 891064608336 in words is "eight hundred ninety-one billion, sixty-four million, six hundred eight thousand, three hundred thirty-six".