8461612944 has 80 divisors (see below), whose sum is σ = 24377923840. Its totient is φ = 2810090880.

The previous prime is 8461612933. The next prime is 8461612949. The reversal of 8461612944 is 4492161648.

8461612944 is a `hidden beast` number, since 8 + 4 + 616 + 1 + 29 + 4 + 4 = 666.

It is a super-2 number, since 2×8461612944² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8461612944.

It is not an unprimeable number, because it can be changed into a prime (8461612949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80934 + ... + 153210.

It is an arithmetic number, because the mean of its divisors is an integer number (304724048).

Almost surely, 2^8461612944 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 8461612944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12188961920).

8461612944 is an abundant number, since it is smaller than the sum of its proper divisors (15916310896).

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

8461612944 is a wasteful number, since it uses less digits than its factorization.

8461612944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72565 (or 72553 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 8461612944 is about 91987.0259547508. The cubic root of 8461612944 is about 2037.7507042381.

The spelling of 8461612944 in words is "eight billion, four hundred sixty-one million, six hundred twelve thousand, nine hundred forty-four".