21834329088 has 352 divisors, whose sum is σ = 71376302592. Its totient is φ = 5839257600.

The previous prime is 21834329059. The next prime is 21834329089. The reversal of 21834329088 is 88092343812.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21834329089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10102728 + ... + 10104888.

Almost surely, 2^21834329088 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 21834329088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35688151296).

21834329088 is an abundant number, since it is smaller than the sum of its proper divisors (49541973504).

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

21834329088 is a wasteful number, since it uses less digits than its factorization.

21834329088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 21834329088 in words is "twenty-one billion, eight hundred thirty-four million, three hundred twenty-nine thousand, eighty-eight".