9813415716000 has 1152 divisors, whose sum is σ = 41803971955200. Its totient is φ = 2153823436800.

The previous prime is 9813415715963. The next prime is 9813415716067. The reversal of 9813415716000 is 6175143189.

9813415716000 is a `hidden beast` number, since 9 + 8 + 1 + 34 + 1 + 5 + 7 + 1 + 600 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 151131541 + ... + 151196459.

It is an arithmetic number, because the mean of its divisors is an integer number (36288170100).

Almost surely, 2^{9813415716000} is an apocalyptic number.

9813415716000 is a gapful number since it is divisible by the number (90) 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 9813415716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901985977600).

9813415716000 is an abundant number, since it is smaller than the sum of its proper divisors (31990556239200).

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

9813415716000 is a wasteful number, since it uses less digits than its factorization.

9813415716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64999 (or 64978 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 9813415716000 in words is "nine trillion, eight hundred thirteen billion, four hundred fifteen million, seven hundred sixteen thousand".