11134040064 has 384 divisors, whose sum is σ = 35852544000. Its totient is φ = 3005743104.

The previous prime is 11134040053. The next prime is 11134040083. The reversal of 11134040064 is 46004043111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98531272 + ... + 98531384.

It is an arithmetic number, because the mean of its divisors is an integer number (93366000).

Almost surely, 2^11134040064 is an apocalyptic number.

11134040064 is a gapful number since it is divisible by the number (14) 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 11134040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272000).

11134040064 is an abundant number, since it is smaller than the sum of its proper divisors (24718503936).

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

11134040064 is a wasteful number, since it uses less digits than its factorization.

11134040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11134040064 its reverse (46004043111), we get a palindrome (57138083175).

The spelling of 11134040064 in words is "eleven billion, one hundred thirty-four million, forty thousand, sixty-four".