248832320544 has 96 divisors (see below), whose sum is σ = 736593359040. Its totient is φ = 81706116096.

The previous prime is 248832320531. The next prime is 248832320587. The reversal of 248832320544 is 445023238842.

248832320544 is a `hidden beast` number, since 2 + 4 + 8 + 83 + 2 + 3 + 20 + 544 = 666.

248832320544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 248832320544.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2091369 + ... + 2207144.

It is an arithmetic number, because the mean of its divisors is an integer number (7672847490).

Almost surely, 2^248832320544 is an apocalyptic number.

248832320544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248832320544 is an abundant number, since it is smaller than the sum of its proper divisors (487761038496).

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

248832320544 is a wasteful number, since it uses less digits than its factorization.

248832320544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298599 (or 4298585 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 248832320544 in words is "two hundred forty-eight billion, eight hundred thirty-two million, three hundred twenty thousand, five hundred forty-four".