248893137024 has 128 divisors (see below), whose sum is σ = 770988624000. Its totient is φ = 71112287232.

The previous prime is 248893136993. The next prime is 248893137083. The reversal of 248893137024 is 420731398842.

248893137024 is digitally balanced in base 2, 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 (128).

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, 813127 + ... + 1076550.

It is an arithmetic number, because the mean of its divisors is an integer number (6023348625).

Almost surely, 2^248893137024 is an apocalyptic number.

248893137024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248893137024 is an abundant number, since it is smaller than the sum of its proper divisors (522095486976).

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

248893137024 is an equidigital number, since it uses as much as digits as its factorization.

248893137024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889715 (or 1889689 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 248893137024 in words is "two hundred forty-eight billion, eight hundred ninety-three million, one hundred thirty-seven thousand, twenty-four".