1248108213888 has 512 divisors, whose sum is σ = 3955184640000. Its totient is φ = 386727505920.

The previous prime is 1248108213853. The next prime is 1248108213949. The reversal of 1248108213888 is 8883128018421.

It is a happy number.

1248108213888 is a `hidden beast` number, since 1 + 2 + 481 + 0 + 82 + 1 + 3 + 8 + 88 = 666.

It is a super-2 number, since 2×1248108213888² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 305981833 + ... + 305985911.

It is an arithmetic number, because the mean of its divisors is an integer number (7724970000).

Almost surely, 2^{1248108213888} is an apocalyptic number.

1248108213888 is a gapful number since it is divisible by the number (18) 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 1248108213888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977592320000).

1248108213888 is an abundant number, since it is smaller than the sum of its proper divisors (2707076426112).

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

1248108213888 is a wasteful number, since it uses less digits than its factorization.

1248108213888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 1248108213888 in words is "one trillion, two hundred forty-eight billion, one hundred eight million, two hundred thirteen thousand, eight hundred eighty-eight".