248131049088 has 256 divisors, whose sum is σ = 777474028800. Its totient is φ = 69378441216.

The previous prime is 248131049077. The next prime is 248131049093. The reversal of 248131049088 is 880940131842.

It is a happy number.

It is a super-2 number, since 2×248131049088² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 2410645 + ... + 2511467.

It is an arithmetic number, because the mean of its divisors is an integer number (3037007925).

Almost surely, 2^248131049088 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 248131049088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388737014400).

248131049088 is an abundant number, since it is smaller than the sum of its proper divisors (529342979712).

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

248131049088 is a wasteful number, since it uses less digits than its factorization.

248131049088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100899 (or 100887 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 248131049088 in words is "two hundred forty-eight billion, one hundred thirty-one million, forty-nine thousand, eighty-eight".