248688794880 has 432 divisors, whose sum is σ = 926535879360. Its totient is φ = 61355261952.

The previous prime is 248688794843. The next prime is 248688794941. The reversal of 248688794880 is 88497886842.

248688794880 is a `hidden beast` number, since 2 + 4 + 8 + 68 + 87 + 9 + 488 + 0 = 666.

It is a super-2 number, since 2×248688794880² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 248688794799 and 248688794808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11543799 + ... + 11565321.

It is an arithmetic number, because the mean of its divisors is an integer number (2144758980).

Almost surely, 2^248688794880 is an apocalyptic number.

248688794880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248688794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463267939680).

248688794880 is an abundant number, since it is smaller than the sum of its proper divisors (677847084480).

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

248688794880 is a wasteful number, since it uses less digits than its factorization.

248688794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21626 (or 21609 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 248688794880 in words is "two hundred forty-eight billion, six hundred eighty-eight million, seven hundred ninety-four thousand, eight hundred eighty".