22141385891856 has 960 divisors, whose sum is σ = 83622270689280. Its totient is φ = 5446708531200.

The previous prime is 22141385891771. The next prime is 22141385891861. The reversal of 22141385891856 is 65819858314122.

22141385891856 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 1 + 38 + 589 + 18 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 22141385891793 and 22141385891802.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1502427720 + ... + 1502442456.

It is an arithmetic number, because the mean of its divisors is an integer number (87106531968).

Almost surely, 2^{22141385891856} 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 22141385891856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41811135344640).

22141385891856 is an abundant number, since it is smaller than the sum of its proper divisors (61480884797424).

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

22141385891856 is a wasteful number, since it uses less digits than its factorization.

22141385891856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14881 (or 14838 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The spelling of 22141385891856 in words is "twenty-two trillion, one hundred forty-one billion, three hundred eighty-five million, eight hundred ninety-one thousand, eight hundred fifty-six".