248503413212028 has 288 divisors, whose sum is σ = 704778301893120. Its totient is φ = 76109388791040.

The previous prime is 248503413212023. The next prime is 248503413212077. The reversal of 248503413212028 is 820212314305842.

248503413212028 is a `hidden beast` number, since 2 + 4 + 8 + 5 + 0 + 3 + 413 + 21 + 202 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248503413212023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26127995793 + ... + 26128005303.

Almost surely, 2^{248503413212028} 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 248503413212028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352389150946560).

248503413212028 is an abundant number, since it is smaller than the sum of its proper divisors (456274888681092).

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

248503413212028 is a wasteful number, since it uses less digits than its factorization.

248503413212028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18879 (or 18865 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 248503413212028 in words is "two hundred forty-eight trillion, five hundred three billion, four hundred thirteen million, two hundred twelve thousand, twenty-eight".