46445054464 has 40 divisors (see below), whose sum is σ = 92937974580. Its totient is φ = 23187849216.

The previous prime is 46445054443. The next prime is 46445054471.

46445054464 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 42964998400 + 3480056064 = 207280^2 + 58992^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 277182 + ... + 411970.

Almost surely, 2^46445054464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46445054464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46468987290).

46445054464 is an abundant number, since it is smaller than the sum of its proper divisors (46492920116).

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

46445054464 is an equidigital number, since it uses as much as digits as its factorization.

46445054464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135480 (or 135464 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 46.

The spelling of 46445054464 in words is "forty-six billion, four hundred forty-five million, fifty-four thousand, four hundred sixty-four".