46065067488 has 288 divisors, whose sum is σ = 147730407552. Its totient is φ = 13492915200.

The previous prime is 46065067481. The next prime is 46065067511. The reversal of 46065067488 is 88476056064.

46065067488 is a `hidden beast` number, since 4 + 60 + 6 + 506 + 74 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46065067481) 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 47 ways as a sum of consecutive naturals, for example, 19105003 + ... + 19107413.

It is an arithmetic number, because the mean of its divisors is an integer number (512952804).

Almost surely, 2^46065067488 is an apocalyptic number.

46065067488 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 46065067488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73865203776).

46065067488 is an abundant number, since it is smaller than the sum of its proper divisors (101665340064).

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

46065067488 is a wasteful number, since it uses less digits than its factorization.

46065067488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 46065067488 in words is "forty-six billion, sixty-five million, sixty-seven thousand, four hundred eighty-eight".