46846488464864 has 48 divisors (see below), whose sum is σ = 101609654062896. Its totient is φ = 21083028096000.

The previous prime is 46846488464813. The next prime is 46846488464891.

It is a happy number.

46846488464864 is nontrivially palindromic in base 10.

46846488464864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46846488464864² (a number of 28 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 658809077 + ... + 658880180.

It is an arithmetic number, because the mean of its divisors is an integer number (2116867792977).

Almost surely, 2^{46846488464864} is an apocalyptic number.

46846488464864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46846488464864 is an abundant number, since it is smaller than the sum of its proper divisors (54763165598032).

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

46846488464864 is a wasteful number, since it uses less digits than its factorization.

46846488464864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317689379 (or 1317689371 counting only the distinct ones).

The product of its digits is 21743271936, while the sum is 80.

The spelling of 46846488464864 in words is "forty-six trillion, eight hundred forty-six billion, four hundred eighty-eight million, four hundred sixty-four thousand, eight hundred sixty-four".