46448884464 has 80 divisors (see below), whose sum is σ = 120592876800. Its totient is φ = 15405700608.

The previous prime is 46448884453. The next prime is 46448884481.

46448884464 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 46448884398 and 46448884407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14250867 + ... + 14254125.

It is an arithmetic number, because the mean of its divisors is an integer number (1507410960).

Almost surely, 2^46448884464 is an apocalyptic number.

It is an amenable number.

46448884464 is an abundant number, since it is smaller than the sum of its proper divisors (74143992336).

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

46448884464 is a wasteful number, since it uses less digits than its factorization.

46448884464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4656 counting only the distinct ones).

The product of its digits is 75497472, while the sum is 60.

The spelling of 46448884464 in words is "forty-six billion, four hundred forty-eight million, eight hundred eighty-four thousand, four hundred sixty-four".