48576477467584 has 56 divisors (see below), whose sum is σ = 105216818572800. Its totient is φ = 22067663758080.

The previous prime is 48576477467537. The next prime is 48576477467593.

48576477467584 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 48576477467498 and 48576477467507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18375274 + ... + 20851945.

Almost surely, 2^{48576477467584} is an apocalyptic number.

48576477467584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48576477467584 is an abundant number, since it is smaller than the sum of its proper divisors (56640341105216).

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

48576477467584 is a wasteful number, since it uses less digits than its factorization.

48576477467584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39229001 (or 39228991 counting only the distinct ones).

The product of its digits is 35404185600, while the sum is 82.

The spelling of 48576477467584 in words is "forty-eight trillion, five hundred seventy-six billion, four hundred seventy-seven million, four hundred sixty-seven thousand, five hundred eighty-four".