11678018688 has 288 divisors, whose sum is σ = 39263337360. Its totient is φ = 3321916416.

The previous prime is 11678018663. The next prime is 11678018741. The reversal of 11678018688 is 88681087611.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11678018688² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25006231 + ... + 25006697.

Almost surely, 2^11678018688 is an apocalyptic number.

11678018688 is a gapful number since it is divisible by the number (18) 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 11678018688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19631668680).

11678018688 is an abundant number, since it is smaller than the sum of its proper divisors (27585318672).

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

11678018688 is a wasteful number, since it uses less digits than its factorization.

11678018688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 11678018688 in words is "eleven billion, six hundred seventy-eight million, eighteen thousand, six hundred eighty-eight".