21964815610848 has 144 divisors (see below), whose sum is σ = 68161350020400. Its totient is φ = 6654002135040.

The previous prime is 21964815610847. The next prime is 21964815610937. The reversal of 21964815610848 is 84801651846912.

It is a happy number.

21964815610848 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 4 + 8 + 1 + 5 + 610 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21964815610847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9504918 + ... + 11587626.

It is an arithmetic number, because the mean of its divisors is an integer number (473342708475).

Almost surely, 2^{21964815610848} 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 21964815610848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34080675010200).

21964815610848 is an abundant number, since it is smaller than the sum of its proper divisors (46196534409552).

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

21964815610848 is a wasteful number, since it uses less digits than its factorization.

21964815610848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086065 (or 2086054 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 21964815610848 in words is "twenty-one trillion, nine hundred sixty-four billion, eight hundred fifteen million, six hundred ten thousand, eight hundred forty-eight".