21731048718336 has 384 divisors, whose sum is σ = 65678778547200. Its totient is φ = 6916464967680.

The previous prime is 21731048718311. The next prime is 21731048718413. The reversal of 21731048718336 is 63381784013712.

21731048718336 is a `hidden beast` number, since 2 + 1 + 73 + 10 + 487 + 1 + 83 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 568276305 + ... + 568314543.

It is an arithmetic number, because the mean of its divisors is an integer number (171038485800).

Almost surely, 2^{21731048718336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21731048718336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32839389273600).

21731048718336 is an abundant number, since it is smaller than the sum of its proper divisors (43947729828864).

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

21731048718336 is an equidigital number, since it uses as much as digits as its factorization.

21731048718336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38363 (or 38332 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 21731048718336 in words is "twenty-one trillion, seven hundred thirty-one billion, forty-eight million, seven hundred eighteen thousand, three hundred thirty-six".