248819739696 has 960 divisors, whose sum is σ = 866413117440. Its totient is φ = 65818368000.

The previous prime is 248819739653. The next prime is 248819739733. The reversal of 248819739696 is 696937918842.

248819739696 is a `hidden beast` number, since 2 + 48 + 8 + 197 + 396 + 9 + 6 = 666.

It is a super-5 number, since 5×248819739696⁵ (a number of 58 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2325418075 + ... + 2325418181.

It is an arithmetic number, because the mean of its divisors is an integer number (902513664).

Almost surely, 2^248819739696 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 248819739696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433206558720).

248819739696 is an abundant number, since it is smaller than the sum of its proper divisors (617593377744).

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

248819739696 is a wasteful number, since it uses less digits than its factorization.

248819739696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 248819739696 in words is "two hundred forty-eight billion, eight hundred nineteen million, seven hundred thirty-nine thousand, six hundred ninety-six".