1538848007424 has 1296 divisors, whose sum is σ = 5801539161600. Its totient is φ = 388403527680.

The previous prime is 1538848007401. The next prime is 1538848007479. The reversal of 1538848007424 is 4247008488351.

1538848007424 is a `hidden beast` number, since 1 + 538 + 8 + 4 + 80 + 0 + 7 + 4 + 24 = 666.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 6779065999 + ... + 6779066225.

Almost surely, 2^{1538848007424} is an apocalyptic number.

1538848007424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1538848007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900769580800).

1538848007424 is an abundant number, since it is smaller than the sum of its proper divisors (4262691154176).

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

1538848007424 is a wasteful number, since it uses less digits than its factorization.

1538848007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 1538848007424 in words is "one trillion, five hundred thirty-eight billion, eight hundred forty-eight million, seven thousand, four hundred twenty-four".