11486718509696 has 128 divisors (see below), whose sum is σ = 23684595056640. Its totient is φ = 5546865623040.

The previous prime is 11486718509663. The next prime is 11486718509701. The reversal of 11486718509696 is 69690581768411.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87571841 + ... + 87702911.

It is an arithmetic number, because the mean of its divisors is an integer number (185035898880).

Almost surely, 2^{11486718509696} is an apocalyptic number.

11486718509696 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 11486718509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11842297528320).

11486718509696 is an abundant number, since it is smaller than the sum of its proper divisors (12197876546944).

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

11486718509696 is a wasteful number, since it uses less digits than its factorization.

11486718509696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131354 (or 131342 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 71.

The spelling of 11486718509696 in words is "eleven trillion, four hundred eighty-six billion, seven hundred eighteen million, five hundred nine thousand, six hundred ninety-six".