63429142857168 has 240 divisors, whose sum is σ = 181582006132800. Its totient is φ = 19064316057600.

The previous prime is 63429142857161. The next prime is 63429142857229. The reversal of 63429142857168 is 86175824192436.

63429142857168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 63429142857099 and 63429142857108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63429142857161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404338428 + ... + 404495268.

It is an arithmetic number, because the mean of its divisors is an integer number (756591692220).

Almost surely, 2^{63429142857168} 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 63429142857168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90791003066400).

63429142857168 is an abundant number, since it is smaller than the sum of its proper divisors (118152863275632).

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

63429142857168 is a wasteful number, since it uses less digits than its factorization.

63429142857168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157442 (or 157425 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 66.

The spelling of 63429142857168 in words is "sixty-three trillion, four hundred twenty-nine billion, one hundred forty-two million, eight hundred fifty-seven thousand, one hundred sixty-eight".