48344577544384 has 112 divisors (see below), whose sum is σ = 105949966936320. Its totient is φ = 21704029885440.

The previous prime is 48344577544331. The next prime is 48344577544397.

48344577544384 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26602482 + ... + 28361614.

Almost surely, 2^{48344577544384} is an apocalyptic number.

48344577544384 is a gapful number since it is divisible by the number (44) 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 48344577544384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52974983468160).

48344577544384 is an abundant number, since it is smaller than the sum of its proper divisors (57605389391936).

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

48344577544384 is a wasteful number, since it uses less digits than its factorization.

48344577544384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759638 (or 1759628 counting only the distinct ones).

The product of its digits is 2890137600, while the sum is 70.

The spelling of 48344577544384 in words is "forty-eight trillion, three hundred forty-four billion, five hundred seventy-seven million, five hundred forty-four thousand, three hundred eighty-four".