949216896 has 192 divisors, whose sum is σ = 3045556800. Its totient is φ = 282009600.

The previous prime is 949216889. The next prime is 949216897. The reversal of 949216896 is 698612949.

949216896 is a `hidden beast` number, since 9 + 492 + 1 + 68 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1679616) is a multiple of the sum of its prime divisors (2592).

It is not an unprimeable number, because it can be changed into a prime (949216897) 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 23 ways as a sum of consecutive naturals, for example, 370821 + ... + 373371.

It is an arithmetic number, because the mean of its divisors is an integer number (15862275).

Almost surely, 2^949216896 is an apocalyptic number.

949216896 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 949216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522778400).

949216896 is an abundant number, since it is smaller than the sum of its proper divisors (2096339904).

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

949216896 is a wasteful number, since it uses less digits than its factorization.

949216896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2592 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 949216896 is about 30809.3637714251. The cubic root of 949216896 is about 982.7773829788. Note that the first 3 decimals are identical.

The spelling of 949216896 in words is "nine hundred forty-nine million, two hundred sixteen thousand, eight hundred ninety-six".