21338460509184 has 1848 divisors, whose sum is σ = 80472757785792. Its totient is φ = 5533864427520.

The previous prime is 21338460509077. The next prime is 21338460509207. The reversal of 21338460509184 is 48190506483312.

It is a happy number.

21338460509184 is a `hidden beast` number, since 2 + 13 + 3 + 8 + 4 + 605 + 0 + 9 + 18 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21338460509184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 64466647899 + ... + 64466648229.

Almost surely, 2^{21338460509184} is an apocalyptic number.

21338460509184 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 21338460509184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40236378892896).

21338460509184 is an abundant number, since it is smaller than the sum of its proper divisors (59134297276608).

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

21338460509184 is an equidigital number, since it uses as much as digits as its factorization.

21338460509184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 21338460509184 in words is "twenty-one trillion, three hundred thirty-eight billion, four hundred sixty million, five hundred nine thousand, one hundred eighty-four".