5233819438848 has 1728 divisors, whose sum is σ = 20287144120320. Its totient is φ = 1159358054400.

The previous prime is 5233819438831. The next prime is 5233819438901. The reversal of 5233819438848 is 8488349183325.

It is a super-2 number, since 2×5233819438848² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8165084608 + ... + 8165085248.

It is an arithmetic number, because the mean of its divisors is an integer number (11740245440).

Almost surely, 2^{5233819438848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5233819438848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10143572060160).

5233819438848 is an abundant number, since it is smaller than the sum of its proper divisors (15053324681472).

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

5233819438848 is a wasteful number, since it uses less digits than its factorization.

5233819438848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 739 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 66.

The spelling of 5233819438848 in words is "five trillion, two hundred thirty-three billion, eight hundred nineteen million, four hundred thirty-eight thousand, eight hundred forty-eight".