12814064880 has 80 divisors (see below), whose sum is σ = 39812407200. Its totient is φ = 3409444864.

The previous prime is 12814064839. The next prime is 12814064881. The reversal of 12814064880 is 8846041821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12814064881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48304 + ... + 167216.

It is an arithmetic number, because the mean of its divisors is an integer number (497655090).

Almost surely, 2^12814064880 is an apocalyptic number.

12814064880 is a gapful number since it is divisible by the number (10) 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 12814064880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19906203600).

12814064880 is an abundant number, since it is smaller than the sum of its proper divisors (26998342320).

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

12814064880 is a wasteful number, since it uses less digits than its factorization.

12814064880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119378 (or 119372 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 12814064880 in words is "twelve billion, eight hundred fourteen million, sixty-four thousand, eight hundred eighty".