11278944768 has 640 divisors, whose sum is σ = 40477409280. Its totient is φ = 2707292160.

The previous prime is 11278944751. The next prime is 11278944773. The reversal of 11278944768 is 86744987211.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82327996 + ... + 82328132.

It is an arithmetic number, because the mean of its divisors is an integer number (63245952).

Almost surely, 2^11278944768 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 11278944768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20238704640).

11278944768 is an abundant number, since it is smaller than the sum of its proper divisors (29198464512).

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

11278944768 is a wasteful number, since it uses less digits than its factorization.

11278944768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 57.

The spelling of 11278944768 in words is "eleven billion, two hundred seventy-eight million, nine hundred forty-four thousand, seven hundred sixty-eight".