22131648000 has 960 divisors, whose sum is σ = 99582912000. Its totient is φ = 4589568000.

The previous prime is 22131647987. The next prime is 22131648017. The reversal of 22131648000 is 84613122.

22131648000 is a `hidden beast` number, since 2 + 2 + 13 + 1 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44351751 + ... + 44352249.

It is an arithmetic number, because the mean of its divisors is an integer number (103732200).

Almost surely, 2^22131648000 is an apocalyptic number.

22131648000 is a gapful number since it is divisible by the number (20) 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 22131648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49791456000).

22131648000 is an abundant number, since it is smaller than the sum of its proper divisors (77451264000).

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

22131648000 is a wasteful number, since it uses less digits than its factorization.

22131648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 22131648000 in words is "twenty-two billion, one hundred thirty-one million, six hundred forty-eight thousand".