8144963712 has 72 divisors (see below), whose sum is σ = 23446799415. Its totient is φ = 2713966848.

The previous prime is 8144963669. The next prime is 8144963713. The reversal of 8144963712 is 2173694418.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

8144963712 is a `hidden beast` number, since 8 + 1 + 4 + 4 + 9 + 637 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4072481856 + 4072481856 = 63816^2 + 63816^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=63816.

It is not an unprimeable number, because it can be changed into a prime (8144963713) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3061839 + ... + 3064497.

Almost surely, 2^8144963712 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 8144963712

8144963712 is an abundant number, since it is smaller than the sum of its proper divisors (15301835703).

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

8144963712 is an frugal number, since it uses more digits than its factorization.

8144963712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 2664 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 8144963712 is about 90249.4526964014. The cubic root of 8144963712 is about 2012.0080681918.

It can be divided in two parts, 81449 and 63712, that added together give a square (145161 = 381²).

The spelling of 8144963712 in words is "eight billion, one hundred forty-four million, nine hundred sixty-three thousand, seven hundred twelve".