48456033065484 has 96 divisors (see below), whose sum is σ = 124130640291840. Its totient is φ = 14590098777600.

The previous prime is 48456033065441. The next prime is 48456033065501.

48456033065484 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 13087554 + ... + 16376694.

It is an arithmetic number, because the mean of its divisors is an integer number (1293027503040).

Almost surely, 2^{48456033065484} is an apocalyptic number.

48456033065484 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 48456033065484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62065320145920).

48456033065484 is an abundant number, since it is smaller than the sum of its proper divisors (75674607226356).

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

48456033065484 is a wasteful number, since it uses less digits than its factorization.

48456033065484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289871 (or 3289869 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 60.

The spelling of 48456033065484 in words is "forty-eight trillion, four hundred fifty-six billion, thirty-three million, sixty-five thousand, four hundred eighty-four".