21841872002496 has 336 divisors, whose sum is σ = 77098309876224. Its totient is φ = 5757126617088.

The previous prime is 21841872002459. The next prime is 21841872002527. The reversal of 21841872002496 is 69420027814812.

21841872002496 is a `hidden beast` number, since 2 + 1 + 84 + 1 + 8 + 72 + 0 + 0 + 2 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90191845 + ... + 90433691.

It is an arithmetic number, because the mean of its divisors is an integer number (229459255584).

Almost surely, 2^{21841872002496} is an apocalyptic number.

21841872002496 is a gapful number since it is divisible by the number (26) 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 21841872002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38549154938112).

21841872002496 is an abundant number, since it is smaller than the sum of its proper divisors (55256437873728).

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

21841872002496 is a wasteful number, since it uses less digits than its factorization.

21841872002496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243608 (or 243595 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 21841872002496 in words is "twenty-one trillion, eight hundred forty-one billion, eight hundred seventy-two million, two thousand, four hundred ninety-six".