8181224064 has 96 divisors (see below), whose sum is σ = 25353318900. Its totient is φ = 2517295104.

The previous prime is 8181224033. The next prime is 8181224071. The reversal of 8181224064 is 4604221818.

It can be written as a sum of positive squares in 2 ways, for example, as 8173606464 + 7617600 = 90408^2 + 2760^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258169 + ... + 288120.

Almost surely, 2^8181224064 is an apocalyptic number.

It is an amenable number.

8181224064 is an abundant number, since it is smaller than the sum of its proper divisors (17172094836).

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

8181224064 is a wasteful number, since it uses less digits than its factorization.

8181224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546322 (or 546307 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8181224064 is about 90450.1192039016. The cubic root of 8181224064 is about 2014.9893838657.

The spelling of 8181224064 in words is "eight billion, one hundred eighty-one million, two hundred twenty-four thousand, sixty-four".