20442188422656 has 3840 divisors, whose sum is σ = 88642886492160. Its totient is φ = 4527707258880.

The previous prime is 20442188422651. The next prime is 20442188422673. The reversal of 20442188422656 is 65622488124402.

20442188422656 is a `hidden beast` number, since 20 + 44 + 21 + 88 + 422 + 65 + 6 = 666.

It is a super-3 number, since 3×20442188422656³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20442188422651) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 125412198831 + ... + 125412198993.

It is an arithmetic number, because the mean of its divisors is an integer number (23084085024).

Almost surely, 2^{20442188422656} is an apocalyptic number.

20442188422656 is a gapful number since it is divisible by the number (26) 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 20442188422656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44321443246080).

20442188422656 is an abundant number, since it is smaller than the sum of its proper divisors (68200698069504).

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

20442188422656 is a wasteful number, since it uses less digits than its factorization.

20442188422656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 20442188422656 in words is "twenty trillion, four hundred forty-two billion, one hundred eighty-eight million, four hundred twenty-two thousand, six hundred fifty-six".