8112646944 has 144 divisors (see below), whose sum is σ = 23675652000. Its totient is φ = 2633637888.

The previous prime is 8112646939. The next prime is 8112646967. The reversal of 8112646944 is 4496462118.

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

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 8112646944.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5559687 + ... + 5561145.

It is an arithmetic number, because the mean of its divisors is an integer number (164414250).

Almost surely, 2^8112646944 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 8112646944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11837826000).

8112646944 is an abundant number, since it is smaller than the sum of its proper divisors (15563005056).

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

8112646944 is a wasteful number, since it uses less digits than its factorization.

8112646944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1956 counting only the distinct ones).

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

The square root of 8112646944 is about 90070.2333959450. The cubic root of 8112646944 is about 2009.3435266132.

The spelling of 8112646944 in words is "eight billion, one hundred twelve million, six hundred forty-six thousand, nine hundred forty-four".