9136776816 has 240 divisors, whose sum is σ = 27168261120. Its totient is φ = 2862397440.

The previous prime is 9136776811. The next prime is 9136776821. The reversal of 9136776816 is 6186776319.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9136776811) and next prime (9136776821).

It is a super-3 number, since 3×9136776816³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9136776811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29761335 + ... + 29761641.

It is an arithmetic number, because the mean of its divisors is an integer number (113201088).

Almost surely, 2^9136776816 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 9136776816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584130560).

9136776816 is an abundant number, since it is smaller than the sum of its proper divisors (18031484304).

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

9136776816 is a wasteful number, since it uses less digits than its factorization.

9136776816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 9136776816 is about 95586.4886686398. The cubic root of 9136776816 is about 2090.5681945299.

The spelling of 9136776816 in words is "nine billion, one hundred thirty-six million, seven hundred seventy-six thousand, eight hundred sixteen".