21949321104 has 240 divisors, whose sum is σ = 64686336000. Its totient is φ = 6940733184.

The previous prime is 21949321087. The next prime is 21949321139. The reversal of 21949321104 is 40112394912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57913587 + ... + 57913965.

It is an arithmetic number, because the mean of its divisors is an integer number (269526400).

Almost surely, 2^21949321104 is an apocalyptic number.

21949321104 is a gapful number since it is divisible by the number (24) 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 21949321104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32343168000).

21949321104 is an abundant number, since it is smaller than the sum of its proper divisors (42737014896).

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

21949321104 is a wasteful number, since it uses less digits than its factorization.

21949321104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 21949321104 in words is "twenty-one billion, nine hundred forty-nine million, three hundred twenty-one thousand, one hundred four".