21748338000 has 800 divisors, whose sum is σ = 85315744800. Its totient is φ = 5319475200.

The previous prime is 21748337987. The next prime is 21748338013. The reversal of 21748338000 is 83384712.

It is an interprime number because it is at equal distance from previous prime (21748337987) and next prime (21748338013).

It can be written as a sum of positive squares in 16 ways, for example, as 14474977344 + 7273360656 = 120312^2 + 85284^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 145961926 + ... + 145962074.

It is an arithmetic number, because the mean of its divisors is an integer number (106644681).

Almost surely, 2^21748338000 is an apocalyptic number.

21748338000 is a gapful number since it is divisible by the number (20) 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 21748338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42657872400).

21748338000 is an abundant number, since it is smaller than the sum of its proper divisors (63567406800).

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

21748338000 is a wasteful number, since it uses less digits than its factorization.

21748338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21748338000 in words is "twenty-one billion, seven hundred forty-eight million, three hundred thirty-eight thousand".