11517974496 has 864 divisors, whose sum is σ = 43710226560. Its totient is φ = 2962842624.

The previous prime is 11517974471. The next prime is 11517974549. The reversal of 11517974496 is 69447971511.

It is a happy number.

11517974496 is a `hidden beast` number, since 1 + 15 + 1 + 79 + 74 + 496 = 666.

11517974496 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 (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 267859851 + ... + 267859893.

It is an arithmetic number, because the mean of its divisors is an integer number (50590540).

Almost surely, 2^11517974496 is an apocalyptic number.

11517974496 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 11517974496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21855113280).

11517974496 is an abundant number, since it is smaller than the sum of its proper divisors (32192252064).

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

11517974496 is a wasteful number, since it uses less digits than its factorization.

11517974496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 11517974496 in words is "eleven billion, five hundred seventeen million, nine hundred seventy-four thousand, four hundred ninety-six".