8948112768000 has 1760 divisors, whose sum is σ = 38428974904320. Its totient is φ = 2028279398400.

The previous prime is 8948112767987. The next prime is 8948112768019. The reversal of 8948112768000 is 8672118498.

8948112768000 is a `hidden beast` number, since 8 + 9 + 481 + 12 + 76 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10088063557 + ... + 10088064443.

It is an arithmetic number, because the mean of its divisors is an integer number (21834644832).

Almost surely, 2^{8948112768000} is an apocalyptic number.

8948112768000 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 8948112768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19214487452160).

8948112768000 is an abundant number, since it is smaller than the sum of its proper divisors (29480862136320).

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

8948112768000 is a wasteful number, since it uses less digits than its factorization.

8948112768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 8948112768000 in words is "eight trillion, nine hundred forty-eight billion, one hundred twelve million, seven hundred sixty-eight thousand".