46686683444832 has 72 divisors (see below), whose sum is σ = 132787065148920. Its totient is φ = 15559671436800.

The previous prime is 46686683444813. The next prime is 46686683444839. The reversal of 46686683444832 is 23844438668664.

46686683444832 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 66 + 83 + 4 + 4 + 483 + 2 = 666.

46686683444832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×46686683444832² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46686683444839) by changing a digit.

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, 11557794 + ... + 15065057.

It is an arithmetic number, because the mean of its divisors is an integer number (1844264793735).

Almost surely, 2^{46686683444832} is an apocalyptic number.

It is an amenable number.

46686683444832 is an abundant number, since it is smaller than the sum of its proper divisors (86100381704088).

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

46686683444832 is a wasteful number, since it uses less digits than its factorization.

46686683444832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26628956 (or 26628945 counting only the distinct ones).

The product of its digits is 3057647616, while the sum is 72.

The spelling of 46686683444832 in words is "forty-six trillion, six hundred eighty-six billion, six hundred eighty-three million, four hundred forty-four thousand, eight hundred thirty-two".