9109006016 has 56 divisors (see below), whose sum is σ = 19752655440. Its totient is φ = 4133376000.

The previous prime is 9109006013. The next prime is 9109006019. The reversal of 9109006016 is 6106009019.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9109006013) and next prime (9109006019).

It is a super-3 number, since 3×9109006016³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

9109006016 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (9109006013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412340 + ... + 433868.

It is an arithmetic number, because the mean of its divisors is an integer number (352725990).

Almost surely, 2^9109006016 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 9109006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9876327720).

9109006016 is an abundant number, since it is smaller than the sum of its proper divisors (10643649424).

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

9109006016 is a wasteful number, since it uses less digits than its factorization.

9109006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22153 (or 22143 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 9109006016 is about 95441.1128183237. The cubic root of 9109006016 is about 2088.4479840093.

The spelling of 9109006016 in words is "nine billion, one hundred nine million, six thousand, sixteen".