22003384320000 has 1000 divisors, whose sum is σ = 82245850442250. Its totient is φ = 5860491264000.

The previous prime is 22003384319957. The next prime is 22003384320059. The reversal of 22003384320000 is 2348330022.

22003384320000 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 338 + 4 + 320 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 471408574464 + 21531975745536 = 686592^2 + 4640256^2 .

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 26542079586 + ... + 26542080414.

Almost surely, 2^{22003384320000} is an apocalyptic number.

22003384320000 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 22003384320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41122925221125).

22003384320000 is an abundant number, since it is smaller than the sum of its proper divisors (60242466122250).

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

22003384320000 is an frugal number, since it uses more digits than its factorization.

22003384320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 22003384320000 in words is "twenty-two trillion, three billion, three hundred eighty-four million, three hundred twenty thousand".