48844028884100 has 72 divisors (see below), whose sum is σ = 106082252155488. Its totient is φ = 19520897760000.

The previous prime is 48844028884097. The next prime is 48844028884153. The reversal of 48844028884100 is 148882044884.

48844028884100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48844028884100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606921464 + ... + 607001936.

Almost surely, 2^{48844028884100} is an apocalyptic number.

It is an amenable number.

48844028884100 is an abundant number, since it is smaller than the sum of its proper divisors (57238223271388).

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

48844028884100 is a wasteful number, since it uses less digits than its factorization.

48844028884100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85605 (or 85598 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 59.

The spelling of 48844028884100 in words is "forty-eight trillion, eight hundred forty-four billion, twenty-eight million, eight hundred eighty-four thousand, one hundred".