42248167168 has 144 divisors (see below), whose sum is σ = 91839013056. Its totient is φ = 19322634240.

The previous prime is 42248167147. The next prime is 42248167189. The reversal of 42248167168 is 86176184224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42248167147) and next prime (42248167189).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22555480 + ... + 22557352.

It is an arithmetic number, because the mean of its divisors is an integer number (637770924).

Almost surely, 2^42248167168 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 42248167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45919506528).

42248167168 is an abundant number, since it is smaller than the sum of its proper divisors (49590845888).

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

42248167168 is a wasteful number, since it uses less digits than its factorization.

42248167168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2036 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The spelling of 42248167168 in words is "forty-two billion, two hundred forty-eight million, one hundred sixty-seven thousand, one hundred sixty-eight".