12583361063424 has 160 divisors (see below), whose sum is σ = 34900523634240. Its totient is φ = 4025183404032.

The previous prime is 12583361063419. The next prime is 12583361063431. The reversal of 12583361063424 is 42436016338521.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2632207 + ... + 5665265.

It is an arithmetic number, because the mean of its divisors is an integer number (218128272714).

Almost surely, 2^{12583361063424} 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 12583361063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17450261817120).

12583361063424 is an abundant number, since it is smaller than the sum of its proper divisors (22317162570816).

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

12583361063424 is an equidigital number, since it uses as much as digits as its factorization.

12583361063424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033190 (or 3033174 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 12583361063424 in words is "twelve trillion, five hundred eighty-three billion, three hundred sixty-one million, sixty-three thousand, four hundred twenty-four".