46842516814032 has 60 divisors (see below), whose sum is σ = 131235101414820. Its totient is φ = 15597364721664.

The previous prime is 46842516813971. The next prime is 46842516814081. The reversal of 46842516814032 is 23041861524864.

46842516814032 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 2 + 516 + 81 + 40 + 3 + 2 = 666.

46842516814032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 16263120955536 + 30579395858496 = 4032756^2 + 5529864^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46842516814032.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 174944403 + ... + 175211954.

It is an arithmetic number, because the mean of its divisors is an integer number (2187251690247).

Almost surely, 2^{46842516814032} is an apocalyptic number.

It is an amenable number.

46842516814032 is an abundant number, since it is smaller than the sum of its proper divisors (84392584600788).

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

46842516814032 is a wasteful number, since it uses less digits than its factorization.

46842516814032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350157300 (or 350157291 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 46842516814032 in words is "forty-six trillion, eight hundred forty-two billion, five hundred sixteen million, eight hundred fourteen thousand, thirty-two".