248368819896 has 96 divisors (see below), whose sum is σ = 713131286400. Its totient is φ = 77953570560.

The previous prime is 248368819891. The next prime is 248368819913. The reversal of 248368819896 is 698918863842.

248368819896 is a `hidden beast` number, since 2 + 483 + 68 + 8 + 1 + 9 + 89 + 6 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (248368819891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1421151 + ... + 1586318.

It is an arithmetic number, because the mean of its divisors is an integer number (7428450900).

Almost surely, 2^248368819896 is an apocalyptic number.

It is an amenable number.

248368819896 is an abundant number, since it is smaller than the sum of its proper divisors (464762466504).

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

248368819896 is a wasteful number, since it uses less digits than its factorization.

248368819896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007549 (or 3007542 counting only the distinct ones).

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

The spelling of 248368819896 in words is "two hundred forty-eight billion, three hundred sixty-eight million, eight hundred nineteen thousand, eight hundred ninety-six".