46567141728 has 192 divisors, whose sum is σ = 129199795200. Its totient is φ = 14657257472.

The previous prime is 46567141681. The next prime is 46567141757. The reversal of 46567141728 is 82714176564.

46567141728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77741173 + ... + 77741771.

It is an arithmetic number, because the mean of its divisors is an integer number (672915600).

Almost surely, 2^46567141728 is an apocalyptic number.

46567141728 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 46567141728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64599897600).

46567141728 is an abundant number, since it is smaller than the sum of its proper divisors (82632653472).

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

46567141728 is a wasteful number, since it uses less digits than its factorization.

46567141728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1021 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The spelling of 46567141728 in words is "forty-six billion, five hundred sixty-seven million, one hundred forty-one thousand, seven hundred twenty-eight".