11000010110148 has 72 divisors (see below), whose sum is σ = 29744721252792. Its totient is φ = 3415406395392.

The previous prime is 11000010110143. The next prime is 11000010110149. The reversal of 11000010110148 is 84101101000011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 626959908864 + 10373050201284 = 791808^2 + 3220722^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 11000010110148.

It is not an unprimeable number, because it can be changed into a prime (11000010110143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92589465 + ... + 92708192.

It is an arithmetic number, because the mean of its divisors is an integer number (413121128511).

Almost surely, 2^{11000010110148} is an apocalyptic number.

11000010110148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11000010110148 is an abundant number, since it is smaller than the sum of its proper divisors (18744711142644).

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

11000010110148 is a wasteful number, since it uses less digits than its factorization.

11000010110148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185297781 (or 185297776 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11000010110148 its reverse (84101101000011), we get a palindrome (95101111110159).

The spelling of 11000010110148 in words is "eleven trillion, ten million, one hundred ten thousand, one hundred forty-eight".