22661083710144 has 448 divisors, whose sum is σ = 74486570457600. Its totient is φ = 6696061747200.

The previous prime is 22661083710113. The next prime is 22661083710211. The reversal of 22661083710144 is 44101738016622.

22661083710144 is a `hidden beast` number, since 2 + 2 + 6 + 610 + 8 + 3 + 7 + 10 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22661083710144.

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 63 ways as a sum of consecutive naturals, for example, 1790110087 + ... + 1790122745.

It is an arithmetic number, because the mean of its divisors is an integer number (166264666200).

Almost surely, 2^{22661083710144} is an apocalyptic number.

22661083710144 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 22661083710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37243285228800).

22661083710144 is an abundant number, since it is smaller than the sum of its proper divisors (51825486747456).

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

22661083710144 is a wasteful number, since it uses less digits than its factorization.

22661083710144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15029 (or 15013 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 22661083710144 in words is "twenty-two trillion, six hundred sixty-one billion, eighty-three million, seven hundred ten thousand, one hundred forty-four".