46928344382964 has 216 divisors, whose sum is σ = 135911585051424. Its totient is φ = 13629850819200.

The previous prime is 46928344382893. The next prime is 46928344382977.

46928344382964 is a `hidden beast` number, since 4 + 6 + 92 + 8 + 3 + 443 + 8 + 2 + 96 + 4 = 666.

46928344382964 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46928344382892 and 46928344382901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8625619 + ... + 12971429.

It is an arithmetic number, because the mean of its divisors is an integer number (629220301164).

Almost surely, 2^{46928344382964} is an apocalyptic number.

46928344382964 is a gapful number since it is divisible by the number (44) 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 46928344382964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67955792525712).

46928344382964 is an abundant number, since it is smaller than the sum of its proper divisors (88983240668460).

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

46928344382964 is a wasteful number, since it uses less digits than its factorization.

46928344382964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345947 (or 4345931 counting only the distinct ones).

The product of its digits is 1719926784, while the sum is 72.

The spelling of 46928344382964 in words is "forty-six trillion, nine hundred twenty-eight billion, three hundred forty-four million, three hundred eighty-two thousand, nine hundred sixty-four".