9111716678400 has 648 divisors, whose sum is σ = 35015997988944. Its totient is φ = 2080537804800.

The previous prime is 9111716678341. The next prime is 9111716678413. The reversal of 9111716678400 is 48766171119.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1028289970 + ... + 1028298830.

Almost surely, 2^{9111716678400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9111716678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17507998994472).

9111716678400 is an abundant number, since it is smaller than the sum of its proper divisors (25904281310544).

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

9111716678400 is a wasteful number, since it uses less digits than its factorization.

9111716678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9997 (or 9971 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 51.

The spelling of 9111716678400 in words is "nine trillion, one hundred eleven billion, seven hundred sixteen million, six hundred seventy-eight thousand, four hundred".