48946438464 has 112 divisors (see below), whose sum is σ = 161459728896. Its totient is φ = 12713356800.

The previous prime is 48946438459. The next prime is 48946438511. The reversal of 48946438464 is 46483464984.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 48946438398 and 48946438407.

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, 1640602 + ... + 1670169.

Almost surely, 2^48946438464 is an apocalyptic number.

48946438464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48946438464 is an abundant number, since it is smaller than the sum of its proper divisors (112513290432).

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

48946438464 is a wasteful number, since it uses less digits than its factorization.

48946438464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310804 (or 3310794 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 60.

The spelling of 48946438464 in words is "forty-eight billion, nine hundred forty-six million, four hundred thirty-eight thousand, four hundred sixty-four".