48344533544384 has 112 divisors (see below), whose sum is σ = 119663132150016. Its totient is φ = 18826477363200.

The previous prime is 48344533544369. The next prime is 48344533544473.

It is a happy number.

48344533544384 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 7898087 + ... + 12612249.

It is an arithmetic number, because the mean of its divisors is an integer number (1068420822768).

Almost surely, 2^{48344533544384} is an apocalyptic number.

48344533544384 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 48344533544384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59831566075008).

48344533544384 is an abundant number, since it is smaller than the sum of its proper divisors (71318598605632).

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

48344533544384 is a wasteful number, since it uses less digits than its factorization.

48344533544384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716274 (or 4716264 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 62.

The spelling of 48344533544384 in words is "forty-eight trillion, three hundred forty-four billion, five hundred thirty-three million, five hundred forty-four thousand, three hundred eighty-four".