22006131782544 has 640 divisors, whose sum is σ = 80446851072000. Its totient is φ = 5722035540480.

The previous prime is 22006131782507. The next prime is 22006131782581. The reversal of 22006131782544 is 44528713160022.

22006131782544 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 6 + 1 + 31 + 78 + 2 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (22006131782507) and next prime (22006131782581).

It is a super-2 number, since 2×22006131782544² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22006131782544.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136685997 + ... + 136846899.

It is an arithmetic number, because the mean of its divisors is an integer number (125698204800).

Almost surely, 2^{22006131782544} is an apocalyptic number.

22006131782544 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 22006131782544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40223425536000).

22006131782544 is an abundant number, since it is smaller than the sum of its proper divisors (58440719289456).

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

22006131782544 is a wasteful number, since it uses less digits than its factorization.

22006131782544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161025 (or 160999 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 22006131782544 in words is "twenty-two trillion, six billion, one hundred thirty-one million, seven hundred eighty-two thousand, five hundred forty-four".