11486942208 has 528 divisors, whose sum is σ = 40510948800. Its totient is φ = 3204956160.

The previous prime is 11486942197. The next prime is 11486942239. The reversal of 11486942208 is 80224968411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82639803 + ... + 82639941.

Almost surely, 2^11486942208 is an apocalyptic number.

11486942208 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 11486942208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255474400).

11486942208 is an abundant number, since it is smaller than the sum of its proper divisors (29024006592).

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

11486942208 is a wasteful number, since it uses less digits than its factorization.

11486942208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11486942208 in words is "eleven billion, four hundred eighty-six million, nine hundred forty-two thousand, two hundred eight".