12811464160 has 48 divisors (see below), whose sum is σ = 33018641712. Its totient is φ = 4658713600.

The previous prime is 12811464139. The next prime is 12811464181. The reversal of 12811464160 is 6146411821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12811464139) and next prime (12811464181).

It is a super-3 number, since 3×12811464160³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3637861 + ... + 3641380.

It is an arithmetic number, because the mean of its divisors is an integer number (687888369).

Almost surely, 2^12811464160 is an apocalyptic number.

12811464160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12811464160 is an abundant number, since it is smaller than the sum of its proper divisors (20207177552).

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

12811464160 is a wasteful number, since it uses less digits than its factorization.

12811464160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7279267 (or 7279259 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

Adding to 12811464160 its reverse (6146411821), we get a palindrome (18957875981).

The spelling of 12811464160 in words is "twelve billion, eight hundred eleven million, four hundred sixty-four thousand, one hundred sixty".