12086476416 has 288 divisors, whose sum is σ = 41769636480. Its totient is φ = 3341399040.

The previous prime is 12086476411. The next prime is 12086476429. The reversal of 12086476416 is 61467468021.

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

It is not an unprimeable number, because it can be changed into a prime (12086476411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1746435 + ... + 1753341.

It is an arithmetic number, because the mean of its divisors is an integer number (145033460).

Almost surely, 2^12086476416 is an apocalyptic number.

12086476416 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 12086476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20884818240).

12086476416 is an abundant number, since it is smaller than the sum of its proper divisors (29683160064).

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

12086476416 is a wasteful number, since it uses less digits than its factorization.

12086476416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6972 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12086476416 in words is "twelve billion, eighty-six million, four hundred seventy-six thousand, four hundred sixteen".