42574215168 has 192 divisors, whose sum is σ = 129529764000. Its totient is φ = 13807190016.

The previous prime is 42574215109. The next prime is 42574215169. The reversal of 42574215168 is 86151247524.

42574215168 is a `hidden beast` number, since 4 + 2 + 574 + 2 + 15 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×42574215168² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42574215169) 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 15 ways as a sum of consecutive naturals, for example, 2035548 + ... + 2056356.

Almost surely, 2^42574215168 is an apocalyptic number.

42574215168 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 42574215168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64764882000).

42574215168 is an abundant number, since it is smaller than the sum of its proper divisors (86955548832).

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

42574215168 is a wasteful number, since it uses less digits than its factorization.

42574215168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20877 (or 20851 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 42574215168 in words is "forty-two billion, five hundred seventy-four million, two hundred fifteen thousand, one hundred sixty-eight".