10188116736 has 144 divisors (see below), whose sum is σ = 31094832384. Its totient is φ = 2900938752.

The previous prime is 10188116713. The next prime is 10188116747. The reversal of 10188116736 is 63761188101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 1647346 + ... + 1653518.

It is an arithmetic number, because the mean of its divisors is an integer number (215936336).

Almost surely, 2^10188116736 is an apocalyptic number.

10188116736 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 10188116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15547416192).

10188116736 is an abundant number, since it is smaller than the sum of its proper divisors (20906715648).

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

10188116736 is an equidigital number, since it uses as much as digits as its factorization.

10188116736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6506 (or 6492 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 10188116736 in words is "ten billion, one hundred eighty-eight million, one hundred sixteen thousand, seven hundred thirty-six".