9116215416 has 256 divisors, whose sum is σ = 32945356800. Its totient is φ = 2264803200.

The previous prime is 9116215391. The next prime is 9116215417. The reversal of 9116215416 is 6145126119.

9116215416 is a `hidden beast` number, since 9 + 11 + 621 + 5 + 4 + 16 = 666.

It is a super-3 number, since 3×9116215416³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9116215417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370621 + ... + 394451.

It is an arithmetic number, because the mean of its divisors is an integer number (128692800).

Almost surely, 2^9116215416 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 9116215416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472678400).

9116215416 is an abundant number, since it is smaller than the sum of its proper divisors (23829141384).

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

9116215416 is a wasteful number, since it uses less digits than its factorization.

9116215416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23887 (or 23877 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 9116215416 is about 95478.8741869111. The cubic root of 9116215416 is about 2088.9988120004.

The spelling of 9116215416 in words is "nine billion, one hundred sixteen million, two hundred fifteen thousand, four hundred sixteen".