8964461952 has 192 divisors, whose sum is σ = 26752527360. Its totient is φ = 2878295040.

The previous prime is 8964461941. The next prime is 8964461959. The reversal of 8964461952 is 2591644698.

8964461952 is a `hidden beast` number, since 8 + 9 + 6 + 446 + 195 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8964461959) 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, 10106053 + ... + 10106939.

It is an arithmetic number, because the mean of its divisors is an integer number (139336080).

Almost surely, 2^8964461952 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 8964461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13376263680).

8964461952 is an abundant number, since it is smaller than the sum of its proper divisors (17788065408).

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

8964461952 is a wasteful number, since it uses less digits than its factorization.

8964461952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1206 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 8964461952 is about 94680.8425818022. The cubic root of 8964461952 is about 2077.3423552437.

The spelling of 8964461952 in words is "eight billion, nine hundred sixty-four million, four hundred sixty-one thousand, nine hundred fifty-two".