21836644368000 has 2048 divisors, whose sum is σ = 95954706432000. Its totient is φ = 4255524864000.

The previous prime is 21836644367987. The next prime is 21836644368031. The reversal of 21836644368000 is 86344663812.

It is a happy number.

It is a super-2 number, since 2×21836644368000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7233070491 + ... + 7233073509.

It is an arithmetic number, because the mean of its divisors is an integer number (46852884000).

Almost surely, 2^{21836644368000} is an apocalyptic number.

21836644368000 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 21836644368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47977353216000).

21836644368000 is an abundant number, since it is smaller than the sum of its proper divisors (74118062064000).

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

21836644368000 is a wasteful number, since it uses less digits than its factorization.

21836644368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 21836644368000 in words is "twenty-one trillion, eight hundred thirty-six billion, six hundred forty-four million, three hundred sixty-eight thousand".