11124692064 has 96 divisors (see below), whose sum is σ = 32480542080. Its totient is φ = 3704400000.

The previous prime is 11124692021. The next prime is 11124692069. The reversal of 11124692064 is 46029642111.

11124692064 is a `hidden beast` number, since 1 + 112 + 469 + 20 + 64 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124692069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 901939 + ... + 914189.

It is an arithmetic number, because the mean of its divisors is an integer number (338338980).

Almost surely, 2^11124692064 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 11124692064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240271040).

11124692064 is an abundant number, since it is smaller than the sum of its proper divisors (21355850016).

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

11124692064 is a wasteful number, since it uses less digits than its factorization.

11124692064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13321 (or 13307 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11124692064 in words is "eleven billion, one hundred twenty-four million, six hundred ninety-two thousand, sixty-four".