8946095904 has 144 divisors (see below), whose sum is σ = 25860691584. Its totient is φ = 2933107200.

The previous prime is 8946095903. The next prime is 8946095927. The reversal of 8946095904 is 4095906498.

8946095904 is a `hidden beast` number, since 8 + 9 + 46 + 0 + 9 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (8946095903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6477294 + ... + 6478674.

It is an arithmetic number, because the mean of its divisors is an integer number (179588136).

Almost surely, 2^8946095904 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 8946095904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12930345792).

8946095904 is an abundant number, since it is smaller than the sum of its proper divisors (16914595680).

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

8946095904 is a wasteful number, since it uses less digits than its factorization.

8946095904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 8946095904 is about 94583.8036029425. The cubic root of 8946095904 is about 2075.9227253583.

The spelling of 8946095904 in words is "eight billion, nine hundred forty-six million, ninety-five thousand, nine hundred four".