21834669883136 has 288 divisors, whose sum is σ = 50572428883200. Its totient is φ = 9381973708800.

The previous prime is 21834669883127. The next prime is 21834669883153. The reversal of 21834669883136 is 63138896643812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3178722710 + ... + 3178729578.

It is an arithmetic number, because the mean of its divisors is an integer number (175598711400).

Almost surely, 2^{21834669883136} 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 21834669883136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25286214441600).

21834669883136 is an abundant number, since it is smaller than the sum of its proper divisors (28737759000064).

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

21834669883136 is an equidigital number, since it uses as much as digits as its factorization.

21834669883136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7428 (or 7392 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 68.

The spelling of 21834669883136 in words is "twenty-one trillion, eight hundred thirty-four billion, six hundred sixty-nine million, eight hundred eighty-three thousand, one hundred thirty-six".