46216205546112 has 288 divisors, whose sum is σ = 162847284163200. Its totient is φ = 12509649331200.

The previous prime is 46216205546047. The next prime is 46216205546261. The reversal of 46216205546112 is 21164550261264.

46216205546112 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 6 + 20 + 5 + 5 + 4 + 611 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20473264 + ... + 22618287.

It is an arithmetic number, because the mean of its divisors is an integer number (565441958900).

Almost surely, 2^{46216205546112} is an apocalyptic number.

46216205546112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

46216205546112 is an abundant number, since it is smaller than the sum of its proper divisors (116631078617088).

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

46216205546112 is a wasteful number, since it uses less digits than its factorization.

46216205546112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43091604 (or 43091582 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 46216205546112 in words is "forty-six trillion, two hundred sixteen billion, two hundred five million, five hundred forty-six thousand, one hundred twelve".