46686683442105 has 48 divisors (see below), whose sum is σ = 94634889697920. Its totient is φ = 20846147019264.

The previous prime is 46686683442073. The next prime is 46686683442107. The reversal of 46686683442105 is 50124438668664.

46686683442105 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 6 + 6 + 83 + 442 + 105 = 666.

It is not a de Polignac number, because 46686683442105 - 2⁵ = 46686683442073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (46686683442107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1723378240 + ... + 1723405329.

It is an arithmetic number, because the mean of its divisors is an integer number (1971560202040).

Almost surely, 2^{46686683442105} is an apocalyptic number.

46686683442105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46686683442105 is an abundant number, since it is smaller than the sum of its proper divisors (47948206255815).

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

46686683442105 is a wasteful number, since it uses less digits than its factorization.

46686683442105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446783630 (or 3446783627 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 46686683442105 in words is "forty-six trillion, six hundred eighty-six billion, six hundred eighty-three million, four hundred forty-two thousand, one hundred five".