5448338380800 has 1944 divisors, whose sum is σ = 23641104958380. Its totient is φ = 1241572147200.

The previous prime is 5448338380739. The next prime is 5448338380831. The reversal of 5448338380800 is 80838338445.

5448338380800 is a `hidden beast` number, since 5 + 4 + 483 + 3 + 8 + 3 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×5448338380800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 16460236635 + ... + 16460236965.

Almost surely, 2^{5448338380800} is an apocalyptic number.

5448338380800 is a gapful number since it is divisible by the number (50) 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 5448338380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11820552479190).

5448338380800 is an abundant number, since it is smaller than the sum of its proper divisors (18192766577580).

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

5448338380800 is an frugal number, since it uses more digits than its factorization.

5448338380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 5448338380800 in words is "five trillion, four hundred forty-eight billion, three hundred thirty-eight million, three hundred eighty thousand, eight hundred".