893648964948480 has 2880 divisors, whose sum is σ = 3855904893434880. Its totient is φ = 189803475763200.

The previous prime is 893648964948403. The next prime is 893648964948529. The reversal of 893648964948480 is 84849469846398.

It is a happy number.

893648964948480 is a `hidden beast` number, since 8 + 9 + 3 + 6 + 4 + 8 + 9 + 6 + 49 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (90).

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 287 ways as a sum of consecutive naturals, for example, 38988207420 + ... + 38988230340.

It is an arithmetic number, because the mean of its divisors is an integer number (1338855865776).

Almost surely, 2^{893648964948480} is an apocalyptic number.

893648964948480 is a gapful number since it is divisible by the number (80) 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 893648964948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927952446717440).

893648964948480 is an abundant number, since it is smaller than the sum of its proper divisors (2962255928486400).

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

893648964948480 is a wasteful number, since it uses less digits than its factorization.

893648964948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23043 (or 23011 counting only the distinct ones).

The product of its (nonzero) digits is 82556485632, while the sum is 90.

The spelling of 893648964948480 in words is "eight hundred ninety-three trillion, six hundred forty-eight billion, nine hundred sixty-four million, nine hundred forty-eight thousand, four hundred eighty".