21484866144 has 144 divisors (see below), whose sum is σ = 65805103728. Its totient is φ = 6119866368.

The previous prime is 21484866121. The next prime is 21484866223. The reversal of 21484866144 is 44166848412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21484866093 and 21484866102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1578472 + ... + 1592024.

It is an arithmetic number, because the mean of its divisors is an integer number (456979887).

Almost surely, 2^21484866144 is an apocalyptic number.

21484866144 is a gapful number since it is divisible by the number (24) 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 21484866144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32902551864).

21484866144 is an abundant number, since it is smaller than the sum of its proper divisors (44320237584).

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

21484866144 is a wasteful number, since it uses less digits than its factorization.

21484866144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13917 (or 13902 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The spelling of 21484866144 in words is "twenty-one billion, four hundred eighty-four million, eight hundred sixty-six thousand, one hundred forty-four".