1324117304064 has 288 divisors, whose sum is σ = 4091584358400. Its totient is φ = 421594398720.

The previous prime is 1324117304063. The next prime is 1324117304117. The reversal of 1324117304064 is 4604037114231.

1324117304064 is a `hidden beast` number, since 1 + 3 + 241 + 1 + 7 + 3 + 0 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1324117304063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122247129 + ... + 122257959.

Almost surely, 2^{1324117304064} 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 1324117304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045792179200).

1324117304064 is an abundant number, since it is smaller than the sum of its proper divisors (2767467054336).

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

1324117304064 is a wasteful number, since it uses less digits than its factorization.

1324117304064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11648 (or 11628 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1324117304064 in words is "one trillion, three hundred twenty-four billion, one hundred seventeen million, three hundred four thousand, sixty-four".