426432135168 has 864 divisors, whose sum is σ = 1473705031680. Its totient is φ = 121456558080.

The previous prime is 426432135167. The next prime is 426432135187. The reversal of 426432135168 is 861531234624.

426432135168 is a `hidden beast` number, since 4 + 26 + 432 + 1 + 35 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

Its product of digits (829440) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426432135161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13755875313 + ... + 13755875343.

It is an arithmetic number, because the mean of its divisors is an integer number (1705677120).

Almost surely, 2^426432135168 is an apocalyptic number.

426432135168 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 426432135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736852515840).

426432135168 is an abundant number, since it is smaller than the sum of its proper divisors (1047272896512).

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

426432135168 is an equidigital number, since it uses as much as digits as its factorization.

426432135168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 72 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 426432135168 in words is "four hundred twenty-six billion, four hundred thirty-two million, one hundred thirty-five thousand, one hundred sixty-eight".