11810486016 has 288 divisors, whose sum is σ = 41654430720. Its totient is φ = 3227406336.

The previous prime is 11810486003. The next prime is 11810486021. The reversal of 11810486016 is 61068401811.

11810486016 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 0 + 48 + 601 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1107526 + ... + 1118138.

It is an arithmetic number, because the mean of its divisors is an integer number (144633440).

Almost surely, 2^11810486016 is an apocalyptic number.

11810486016 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 11810486016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20827215360).

11810486016 is an abundant number, since it is smaller than the sum of its proper divisors (29843944704).

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

11810486016 is a wasteful number, since it uses less digits than its factorization.

11810486016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10668 (or 10648 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 11810486016 its reverse (61068401811), we get a palindrome (72878887827).

The spelling of 11810486016 in words is "eleven billion, eight hundred ten million, four hundred eighty-six thousand, sixteen".