11135262336 has 128 divisors (see below), whose sum is σ = 32355901440. Its totient is φ = 3365022720.

The previous prime is 11135262311. The next prime is 11135262353. The reversal of 11135262336 is 63326253111.

11135262336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11135262297 and 11135262306.

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 15 ways as a sum of consecutive naturals, for example, 1614351 + ... + 1621233.

It is an arithmetic number, because the mean of its divisors is an integer number (252780480).

Almost surely, 2^11135262336 is an apocalyptic number.

11135262336 is a gapful number since it is divisible by the number (16) 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 11135262336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16177950720).

11135262336 is an abundant number, since it is smaller than the sum of its proper divisors (21220639104).

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

11135262336 is a wasteful number, since it uses less digits than its factorization.

11135262336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294 (or 7282 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The spelling of 11135262336 in words is "eleven billion, one hundred thirty-five million, two hundred sixty-two thousand, three hundred thirty-six".