11145154064 has 80 divisors (see below), whose sum is σ = 24841654080. Its totient is φ = 4790638080.

The previous prime is 11145154063. The next prime is 11145154079. The reversal of 11145154064 is 46045154111.

It is a super-2 number, since 2×11145154064² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11145154064.

It is not an unprimeable number, because it can be changed into a prime (11145154063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2047154 + ... + 2052590.

It is an arithmetic number, because the mean of its divisors is an integer number (310520676).

Almost surely, 2^11145154064 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 11145154064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420827040).

11145154064 is an abundant number, since it is smaller than the sum of its proper divisors (13696500016).

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

11145154064 is a wasteful number, since it uses less digits than its factorization.

11145154064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6088 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 11145154064 in words is "eleven billion, one hundred forty-five million, one hundred fifty-four thousand, sixty-four".