9465878016 has 480 divisors, whose sum is σ = 32747457600. Its totient is φ = 2630025216.

The previous prime is 9465878011. The next prime is 9465878027. The reversal of 9465878016 is 6108785649.

9465878016 is a `hidden beast` number, since 9 + 46 + 587 + 8 + 0 + 16 = 666.

It is a super-2 number, since 2×9465878016² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9465878011) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 83768776 + ... + 83768888.

It is an arithmetic number, because the mean of its divisors is an integer number (68223870).

Almost surely, 2^9465878016 is an apocalyptic number.

9465878016 is a gapful number since it is divisible by the number (96) 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 9465878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373728800).

9465878016 is an abundant number, since it is smaller than the sum of its proper divisors (23281579584).

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

9465878016 is a wasteful number, since it uses less digits than its factorization.

9465878016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 9465878016 is about 97292.7439021020. The cubic root of 9465878016 is about 2115.3730535889.

The spelling of 9465878016 in words is "nine billion, four hundred sixty-five million, eight hundred seventy-eight thousand, sixteen".