48534688643584 has 80 divisors (see below), whose sum is σ = 113928181567200. Its totient is φ = 20364204994560.

The previous prime is 48534688643569. The next prime is 48534688643621.

48534688643584 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 48534688643584.

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, 331375434 + ... + 331521865.

It is an arithmetic number, because the mean of its divisors is an integer number (1424102269590).

Almost surely, 2^{48534688643584} is an apocalyptic number.

48534688643584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48534688643584 is an abundant number, since it is smaller than the sum of its proper divisors (65393492923616).

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

48534688643584 is a wasteful number, since it uses less digits than its factorization.

48534688643584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662897341 (or 662897325 counting only the distinct ones).

The product of its digits is 8493465600, while the sum is 76.

The spelling of 48534688643584 in words is "forty-eight trillion, five hundred thirty-four billion, six hundred eighty-eight million, six hundred forty-three thousand, five hundred eighty-four".