21844533544812 has 384 divisors, whose sum is σ = 63973455436800. Its totient is φ = 6389280000000.

The previous prime is 21844533544793. The next prime is 21844533544859.

21844533544812 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 4 + 533 + 54 + 48 + 12 = 666.

21844533544812 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×21844533544812³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2569638562 + ... + 2569647062.

It is an arithmetic number, because the mean of its divisors is an integer number (166597540200).

Almost surely, 2^{21844533544812} is an apocalyptic number.

21844533544812 is a gapful number since it is divisible by the number (22) 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 21844533544812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31986727718400).

21844533544812 is an abundant number, since it is smaller than the sum of its proper divisors (42128921891988).

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

21844533544812 is a wasteful number, since it uses less digits than its factorization.

21844533544812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9246 (or 9238 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 21844533544812 in words is "twenty-one trillion, eight hundred forty-four billion, five hundred thirty-three million, five hundred forty-four thousand, eight hundred twelve".