21838706016 has 96 divisors (see below), whose sum is σ = 58137730560. Its totient is φ = 7177196544.

The previous prime is 21838705979. The next prime is 21838706023. The reversal of 21838706016 is 61060783812.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2299165 + ... + 2308643.

It is an arithmetic number, because the mean of its divisors is an integer number (605601360).

Almost surely, 2^21838706016 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 21838706016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29068865280).

21838706016 is an abundant number, since it is smaller than the sum of its proper divisors (36299024544).

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

21838706016 is a wasteful number, since it uses less digits than its factorization.

21838706016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9828 (or 9820 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 21838706016 in words is "twenty-one billion, eight hundred thirty-eight million, seven hundred six thousand, sixteen".