891331566048 has 576 divisors, whose sum is σ = 3285652930560. Its totient is φ = 230919206400.

The previous prime is 891331566019. The next prime is 891331566079. The reversal of 891331566048 is 840665133198.

891331566048 is a `hidden beast` number, since 8 + 9 + 1 + 3 + 31 + 566 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 891331565985 and 891331566003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262850433 + ... + 262853823.

It is an arithmetic number, because the mean of its divisors is an integer number (5704258560).

Almost surely, 2^891331566048 is an apocalyptic number.

891331566048 is a gapful number since it is divisible by the number (88) 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 891331566048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642826465280).

891331566048 is an abundant number, since it is smaller than the sum of its proper divisors (2394321364512).

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

891331566048 is a wasteful number, since it uses less digits than its factorization.

891331566048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3873 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 891331566048 in words is "eight hundred ninety-one billion, three hundred thirty-one million, five hundred sixty-six thousand, forty-eight".