21964961345208 has 256 divisors, whose sum is σ = 66032440320000. Its totient is φ = 5956552857600.

The previous prime is 21964961345143. The next prime is 21964961345227. The reversal of 21964961345208 is 80254316946912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110774058 + ... + 110972166.

It is an arithmetic number, because the mean of its divisors is an integer number (257939220000).

Almost surely, 2^{21964961345208} is an apocalyptic number.

21964961345208 is a gapful number since it is divisible by the number (28) 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 21964961345208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33016220160000).

21964961345208 is an abundant number, since it is smaller than the sum of its proper divisors (44067478974792).

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

21964961345208 is a wasteful number, since it uses less digits than its factorization.

21964961345208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198566 (or 198562 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 21964961345208 in words is "twenty-one trillion, nine hundred sixty-four billion, nine hundred sixty-one million, three hundred forty-five thousand, two hundred eight".