11248351178880 has 256 divisors, whose sum is σ = 36488904883200. Its totient is φ = 2946858135552.

The previous prime is 11248351178819. The next prime is 11248351178893. The reversal of 11248351178880 is 8887115384211.

It is a super-2 number, since 2×11248351178880² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11248351178880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28328277 + ... + 28722603.

It is an arithmetic number, because the mean of its divisors is an integer number (142534784700).

Almost surely, 2^{11248351178880} is an apocalyptic number.

11248351178880 is a gapful number since it is divisible by the number (10) 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 11248351178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18244452441600).

11248351178880 is an abundant number, since it is smaller than the sum of its proper divisors (25240553704320).

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

11248351178880 is a wasteful number, since it uses less digits than its factorization.

11248351178880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394611 (or 394599 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 57.

The spelling of 11248351178880 in words is "eleven trillion, two hundred forty-eight billion, three hundred fifty-one million, one hundred seventy-eight thousand, eight hundred eighty".