8813730816000 has 1344 divisors, whose sum is σ = 34906692427776. Its totient is φ = 2121695232000.

The previous prime is 8813730815983. The next prime is 8813730816061. The reversal of 8813730816000 is 6180373188.

8813730816000 is a `hidden beast` number, since 8 + 8 + 1 + 3 + 7 + 30 + 8 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 23012351809 + ... + 23012352191.

Almost surely, 2^{8813730816000} is an apocalyptic number.

8813730816000 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 8813730816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17453346213888).

8813730816000 is an abundant number, since it is smaller than the sum of its proper divisors (26092961611776).

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

8813730816000 is a wasteful number, since it uses less digits than its factorization.

8813730816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 8813730816000 in words is "eight trillion, eight hundred thirteen billion, seven hundred thirty million, eight hundred sixteen thousand".