22004946586512 has 480 divisors, whose sum is σ = 66361829713920. Its totient is φ = 6782445649920.

The previous prime is 22004946586501. The next prime is 22004946586531. The reversal of 22004946586512 is 21568564940022.

22004946586512 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 4 + 9 + 4 + 6 + 586 + 51 + 2 = 666.

It is a super-2 number, since 2×22004946586512² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28466942158 + ... + 28466942930.

It is an arithmetic number, because the mean of its divisors is an integer number (138253811904).

Almost surely, 2^{22004946586512} 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 22004946586512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33180914856960).

22004946586512 is an abundant number, since it is smaller than the sum of its proper divisors (44356883127408).

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

22004946586512 is a wasteful number, since it uses less digits than its factorization.

22004946586512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 22004946586512 in words is "twenty-two trillion, four billion, nine hundred forty-six million, five hundred eighty-six thousand, five hundred twelve".