248146890145 has 96 divisors (see below), whose sum is σ = 379260161280. Its totient is φ = 152550604800.

The previous prime is 248146890139. The next prime is 248146890151. The reversal of 248146890145 is 541098641842.

248146890145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248146890139) and next prime (248146890151).

It is not a de Polignac number, because 248146890145 - 2⁹ = 248146889633 is a prime.

It is a super-3 number, since 3×248146890145³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248146890092 and 248146890101.

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 95 ways as a sum of consecutive naturals, for example, 215217889 + ... + 215219041.

It is an arithmetic number, because the mean of its divisors is an integer number (3950626680).

Almost surely, 2^248146890145 is an apocalyptic number.

It is an amenable number.

248146890145 is a deficient number, since it is larger than the sum of its proper divisors (131113271135).

248146890145 is a wasteful number, since it uses less digits than its factorization.

248146890145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 248146890145 in words is "two hundred forty-eight billion, one hundred forty-six million, eight hundred ninety thousand, one hundred forty-five".