248812728192 has 768 divisors, whose sum is σ = 891784857600. Its totient is φ = 65024999424.

The previous prime is 248812728167. The next prime is 248812728211. The reversal of 248812728192 is 291827218842.

It is a happy number.

248812728192 is a `hidden beast` number, since 2 + 488 + 1 + 2 + 72 + 8 + 1 + 92 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 898240758 + ... + 898241034.

It is an arithmetic number, because the mean of its divisors is an integer number (1161178200).

Almost surely, 2^248812728192 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 248812728192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445892428800).

248812728192 is an abundant number, since it is smaller than the sum of its proper divisors (642972129408).

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

248812728192 is a wasteful number, since it uses less digits than its factorization.

248812728192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 248812728192 in words is "two hundred forty-eight billion, eight hundred twelve million, seven hundred twenty-eight thousand, one hundred ninety-two".