248368819968 has 180 divisors, whose sum is σ = 745570564200. Its totient is φ = 82232948736.

The previous prime is 248368819957. The next prime is 248368820069. The reversal of 248368819968 is 869918863842.

248368819968 is a `hidden beast` number, since 2 + 48 + 368 + 81 + 99 + 68 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 248368819896 and 248368819905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3049471 + ... + 3129857.

It is an arithmetic number, because the mean of its divisors is an integer number (4142058690).

Almost surely, 2^248368819968 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 248368819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372785282100).

248368819968 is an abundant number, since it is smaller than the sum of its proper divisors (497201744232).

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

248368819968 is an equidigital number, since it uses as much as digits as its factorization.

248368819968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80564 (or 80541 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 72.

The spelling of 248368819968 in words is "two hundred forty-eight billion, three hundred sixty-eight million, eight hundred nineteen thousand, nine hundred sixty-eight".