11688593408 has 36 divisors (see below), whose sum is σ = 23381266545. Its totient is φ = 5841850368.

The previous prime is 11688593407. The next prime is 11688593417. The reversal of 11688593408 is 80439588611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10742907904 + 945685504 = 103648^2 + 30752^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=76448.

It is a super-4 number, since 4×11688593408⁴ (a number of 41 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11688593408.

It is not an unprimeable number, because it can be changed into a prime (11688593407) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4891478 + ... + 4893866.

Almost surely, 2^11688593408 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 11688593408

11688593408 is an abundant number, since it is smaller than the sum of its proper divisors (11692673137).

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

11688593408 is an frugal number, since it uses more digits than its factorization.

11688593408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 53.

The spelling of 11688593408 in words is "eleven billion, six hundred eighty-eight million, five hundred ninety-three thousand, four hundred eight".