9105668352 has 576 divisors, whose sum is σ = 31647006720. Its totient is φ = 2554675200.

The previous prime is 9105668323. The next prime is 9105668371. The reversal of 9105668352 is 2538665019.

9105668352 is a `hidden beast` number, since 9 + 1 + 0 + 566 + 83 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×9105668352² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9105668298 and 9105668307.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71698113 + ... + 71698239.

It is an arithmetic number, because the mean of its divisors is an integer number (54942720).

Almost surely, 2^9105668352 is an apocalyptic number.

9105668352 is a gapful number since it is divisible by the number (92) 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 9105668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15823503360).

9105668352 is an abundant number, since it is smaller than the sum of its proper divisors (22541338368).

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

9105668352 is a wasteful number, since it uses less digits than its factorization.

9105668352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 9105668352 is about 95423.6257537933. The cubic root of 9105668352 is about 2088.1928742428.

The spelling of 9105668352 in words is "nine billion, one hundred five million, six hundred sixty-eight thousand, three hundred fifty-two".