11148862128 has 80 divisors (see below), whose sum is σ = 30112477440. Its totient is φ = 3547729152.

The previous prime is 11148862121. The next prime is 11148862129. The reversal of 11148862128 is 82126884111.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11148862128.

It is not an unprimeable number, because it can be changed into a prime (11148862121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567738 + ... + 587046.

It is an arithmetic number, because the mean of its divisors is an integer number (376405968).

Almost surely, 2^11148862128 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 11148862128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15056238720).

11148862128 is an abundant number, since it is smaller than the sum of its proper divisors (18963615312).

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

11148862128 is a wasteful number, since it uses less digits than its factorization.

11148862128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19866 (or 19860 counting only the distinct ones).

The product of its digits is 49152, while the sum is 42.

The spelling of 11148862128 in words is "eleven billion, one hundred forty-eight million, eight hundred sixty-two thousand, one hundred twenty-eight".