9018782136 has 768 divisors, whose sum is σ = 34410700800. Its totient is φ = 2127513600.

The previous prime is 9018782119. The next prime is 9018782137. The reversal of 9018782136 is 6312878109.

9018782136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9018782091 and 9018782100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9018782137) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 219970276 + ... + 219970316.

It is an arithmetic number, because the mean of its divisors is an integer number (44805600).

Almost surely, 2^9018782136 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 9018782136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17205350400).

9018782136 is an abundant number, since it is smaller than the sum of its proper divisors (25391918664).

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

9018782136 is a wasteful number, since it uses less digits than its factorization.

9018782136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9018782136 is about 94967.2687614001. The cubic root of 9018782136 is about 2081.5297960658.

The spelling of 9018782136 in words is "nine billion, eighteen million, seven hundred eighty-two thousand, one hundred thirty-six".