248288667061248 has 352 divisors, whose sum is σ = 820812222616320. Its totient is φ = 73489242193920.

The previous prime is 248288667061247. The next prime is 248288667061289. The reversal of 248288667061248 is 842160766882842.

248288667061248 is a `hidden beast` number, since 2 + 48 + 288 + 6 + 6 + 7 + 0 + 61 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (248288667061247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3584536 + ... + 22570472.

It is an arithmetic number, because the mean of its divisors is an integer number (2331852905160).

Almost surely, 2^{248288667061248} 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 248288667061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410406111308160).

248288667061248 is an abundant number, since it is smaller than the sum of its proper divisors (572523555555072).

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

248288667061248 is a wasteful number, since it uses less digits than its factorization.

248288667061248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18986020 (or 18985996 counting only the distinct ones).

The product of its (nonzero) digits is 792723456, while the sum is 72.

The spelling of 248288667061248 in words is "two hundred forty-eight trillion, two hundred eighty-eight billion, six hundred sixty-seven million, sixty-one thousand, two hundred forty-eight".