42623175168 has 240 divisors, whose sum is σ = 141195802176. Its totient is φ = 12125306880.

The previous prime is 42623175109. The next prime is 42623175187. The reversal of 42623175168 is 86157132624.

42623175168 is a `hidden beast` number, since 4 + 2 + 623 + 1 + 7 + 5 + 16 + 8 = 666.

It is a super-2 number, since 2×42623175168² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7770955 + ... + 7776437.

Almost surely, 2^42623175168 is an apocalyptic number.

42623175168 is a gapful number since it is divisible by the number (48) 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 42623175168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70597901088).

42623175168 is an abundant number, since it is smaller than the sum of its proper divisors (98572627008).

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

42623175168 is a wasteful number, since it uses less digits than its factorization.

42623175168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755 (or 5736 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 42623175168 in words is "forty-two billion, six hundred twenty-three million, one hundred seventy-five thousand, one hundred sixty-eight".