248435213488 has 80 divisors (see below), whose sum is σ = 631701354240. Its totient is φ = 91698566400.

The previous prime is 248435213449. The next prime is 248435213531. The reversal of 248435213488 is 884312534842.

248435213488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248435213488² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5283223 + ... + 5330038.

It is an arithmetic number, because the mean of its divisors is an integer number (7896266928).

Almost surely, 2^248435213488 is an apocalyptic number.

248435213488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

248435213488 is an abundant number, since it is smaller than the sum of its proper divisors (383266140752).

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

248435213488 is a wasteful number, since it uses less digits than its factorization.

248435213488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10613306 (or 10613300 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 52.

The spelling of 248435213488 in words is "two hundred forty-eight billion, four hundred thirty-five million, two hundred thirteen thousand, four hundred eighty-eight".