1248051168 has 216 divisors, whose sum is σ = 4446835848. Its totient is φ = 329107968.

The previous prime is 1248051149. The next prime is 1248051191. The reversal of 1248051168 is 8611508421.

1248051168 is a `hidden beast` number, since 1 + 2 + 4 + 80 + 511 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

1248051168 is a modest number, since divided by 51168 gives 12480 as remainder.

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 35 ways as a sum of consecutive naturals, for example, 180055 + ... + 186857.

It is an arithmetic number, because the mean of its divisors is an integer number (20587203).

Almost surely, 2^1248051168 is an apocalyptic number.

1248051168 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 1248051168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223417924).

1248051168 is an abundant number, since it is smaller than the sum of its proper divisors (3198784680).

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

1248051168 is a wasteful number, since it uses less digits than its factorization.

1248051168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1248051168 is about 35327.7676622795. The cubic root of 1248051168 is about 1076.6572363308.

Adding to 1248051168 its reverse (8611508421), we get a palindrome (9859559589).

The spelling of 1248051168 in words is "one billion, two hundred forty-eight million, fifty-one thousand, one hundred sixty-eight".