11145513504 has 96 divisors (see below), whose sum is σ = 29491862400. Its totient is φ = 3685478400.

The previous prime is 11145513503. The next prime is 11145513539. The reversal of 11145513504 is 40531554111.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11145513503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7194522 + ... + 7196070.

It is an arithmetic number, because the mean of its divisors is an integer number (307206900).

Almost surely, 2^11145513504 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 11145513504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14745931200).

11145513504 is an abundant number, since it is smaller than the sum of its proper divisors (18346348896).

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

11145513504 is a wasteful number, since it uses less digits than its factorization.

11145513504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 11145513504 in words is "eleven billion, one hundred forty-five million, five hundred thirteen thousand, five hundred four".