248189513488 has 120 divisors (see below), whose sum is σ = 578098858680. Its totient is φ = 102852771840.

The previous prime is 248189513461. The next prime is 248189513501. The reversal of 248189513488 is 884315981842.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1347477264 + 246842036224 = 36708^2 + 496832^2 .

It is a super-2 number, since 2×248189513488² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3598108 + ... + 3666436.

It is an arithmetic number, because the mean of its divisors is an integer number (4817490489).

Almost surely, 2^248189513488 is an apocalyptic number.

248189513488 is a gapful number since it is divisible by the number (28) 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 248189513488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289049429340).

248189513488 is an abundant number, since it is smaller than the sum of its proper divisors (329909345192).

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

248189513488 is a wasteful number, since it uses less digits than its factorization.

248189513488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68505 (or 68492 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 61.

The spelling of 248189513488 in words is "two hundred forty-eight billion, one hundred eighty-nine million, five hundred thirteen thousand, four hundred eighty-eight".