248445053136 has 720 divisors, whose sum is σ = 866475792000. Its totient is φ = 65048315904.

The previous prime is 248445053089. The next prime is 248445053161. The reversal of 248445053136 is 631350544842.

248445053136 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 4 + 505 + 3 + 136 = 666.

248445053136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 248445053091 and 248445053100.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1667416390 + ... + 1667416538.

It is an arithmetic number, because the mean of its divisors is an integer number (1203438600).

Almost surely, 2^248445053136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248445053136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433237896000).

248445053136 is an abundant number, since it is smaller than the sum of its proper divisors (618030738864).

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

248445053136 is a wasteful number, since it uses less digits than its factorization.

248445053136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 248445053136 its reverse (631350544842), we get a palindrome (879795597978).

The spelling of 248445053136 in words is "two hundred forty-eight billion, four hundred forty-five million, fifty-three thousand, one hundred thirty-six".