42644114656 has 192 divisors, whose sum is σ = 100370866176. Its totient is φ = 17580441600.

The previous prime is 42644114647. The next prime is 42644114659. The reversal of 42644114656 is 65641144624.

It is a happy number.

42644114656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42644114659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84779301 + ... + 84779803.

It is an arithmetic number, because the mean of its divisors is an integer number (522764928).

Almost surely, 2^42644114656 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 42644114656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50185433088).

42644114656 is an abundant number, since it is smaller than the sum of its proper divisors (57726751520).

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

42644114656 is a wasteful number, since it uses less digits than its factorization.

42644114656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 817 counting only the distinct ones).

The product of its digits is 552960, while the sum is 43.

The spelling of 42644114656 in words is "forty-two billion, six hundred forty-four million, one hundred fourteen thousand, six hundred fifty-six".