9191441952 has 1008 divisors, whose sum is σ = 37302848352. Its totient is φ = 2194698240.

The previous prime is 9191441947. The next prime is 9191441971. The reversal of 9191441952 is 2591441919.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-4 number, since 4×9191441952⁴ (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9191441898 and 9191441907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 213754443 + ... + 213754485.

It is an arithmetic number, because the mean of its divisors is an integer number (37006794).

Almost surely, 2^9191441952 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 9191441952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18651424176).

9191441952 is an abundant number, since it is smaller than the sum of its proper divisors (28111406400).

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

9191441952 is a wasteful number, since it uses less digits than its factorization.

9191441952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 9191441952 is about 95872.0081775697. The cubic root of 9191441952 is about 2094.7291817706.

The spelling of 9191441952 in words is "nine billion, one hundred ninety-one million, four hundred forty-one thousand, nine hundred fifty-two".