9101167488 has 384 divisors, whose sum is σ = 31569408000. Its totient is φ = 2513064960.

The previous prime is 9101167483. The next prime is 9101167499. The reversal of 9101167488 is 8847611019.

It is a happy number.

9101167488 is a `hidden beast` number, since 9 + 1 + 0 + 1 + 167 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9101167483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12248845 + ... + 12249587.

It is an arithmetic number, because the mean of its divisors is an integer number (82212000).

Almost surely, 2^9101167488 is an apocalyptic number.

9101167488 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9101167488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15784704000).

9101167488 is an abundant number, since it is smaller than the sum of its proper divisors (22468240512).

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

9101167488 is a wasteful number, since it uses less digits than its factorization.

9101167488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 9101167488 is about 95400.0392452749. The cubic root of 9101167488 is about 2087.8487581473.

The spelling of 9101167488 in words is "nine billion, one hundred one million, one hundred sixty-seven thousand, four hundred eighty-eight".