1504113524224 has 160 divisors (see below), whose sum is σ = 3299238835200. Its totient is φ = 682370334720.

The previous prime is 1504113524203. The next prime is 1504113524231. The reversal of 1504113524224 is 4224253114051.

It is a super-3 number, since 3×1504113524224³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1504113524224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29226387 + ... + 29277805.

It is an arithmetic number, because the mean of its divisors is an integer number (20620242720).

Almost surely, 2^{1504113524224} 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 1504113524224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649619417600).

1504113524224 is an abundant number, since it is smaller than the sum of its proper divisors (1795125310976).

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

1504113524224 is an equidigital number, since it uses as much as digits as its factorization.

1504113524224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51584 (or 51568 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 1504113524224 its reverse (4224253114051), we get a palindrome (5728366638275).

The spelling of 1504113524224 in words is "one trillion, five hundred four billion, one hundred thirteen million, five hundred twenty-four thousand, two hundred twenty-four".