248146890144 has 96 divisors (see below), whose sum is σ = 659594202624. Its totient is φ = 81674361600.

The previous prime is 248146890139. The next prime is 248146890151. The reversal of 248146890144 is 441098641842.

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

It is a super-3 number, since 3×248146890144³ (a number of 35 digits) contains 333 as substring.

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, 16589869 + ... + 16604819.

It is an arithmetic number, because the mean of its divisors is an integer number (6870772944).

Almost surely, 2^248146890144 is an apocalyptic number.

248146890144 is a gapful number since it is divisible by the number (24) 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 248146890144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329797101312).

248146890144 is an abundant number, since it is smaller than the sum of its proper divisors (411447312480).

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

248146890144 is a wasteful number, since it uses less digits than its factorization.

248146890144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17130 (or 17122 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 248146890144 in words is "two hundred forty-eight billion, one hundred forty-six million, eight hundred ninety thousand, one hundred forty-four".