248245658496 has 448 divisors, whose sum is σ = 812331590400. Its totient is φ = 74907141120.

The previous prime is 248245658491. The next prime is 248245658503. The reversal of 248245658496 is 694856542842.

248245658496 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 45 + 6 + 584 + 9 + 6 = 666.

It is a super-2 number, since 2×248245658496² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248245658491) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 376700215 + ... + 376700873.

Almost surely, 2^248245658496 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 248245658496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406165795200).

248245658496 is an abundant number, since it is smaller than the sum of its proper divisors (564085931904).

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

248245658496 is an equidigital number, since it uses as much as digits as its factorization.

248245658496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1042 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 248245658496 in words is "two hundred forty-eight billion, two hundred forty-five million, six hundred fifty-eight thousand, four hundred ninety-six".