13001224509984 has 96 divisors (see below), whose sum is σ = 36136838162880. Its totient is φ = 4078693425152.

The previous prime is 13001224509983. The next prime is 13001224509991. The reversal of 13001224509984 is 48990542210031.

It is a happy number.

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 (48).

It is not an unprimeable number, because it can be changed into a prime (13001224509983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65456647 + ... + 65654969.

It is an arithmetic number, because the mean of its divisors is an integer number (376425397530).

Almost surely, 2^{13001224509984} is an apocalyptic number.

It is an amenable number.

13001224509984 is an abundant number, since it is smaller than the sum of its proper divisors (23135613652896).

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

13001224509984 is a wasteful number, since it uses less digits than its factorization.

13001224509984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238522 (or 238514 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 13001224509984 in words is "thirteen trillion, one billion, two hundred twenty-four million, five hundred nine thousand, nine hundred eighty-four".