12814414704 has 320 divisors, whose sum is σ = 45497088000. Its totient is φ = 3362715648.

The previous prime is 12814414637. The next prime is 12814414709. The reversal of 12814414704 is 40741441821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12814414709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9158997 + ... + 9160395.

It is an arithmetic number, because the mean of its divisors is an integer number (142178400).

Almost surely, 2^12814414704 is an apocalyptic number.

12814414704 is a gapful number since it is divisible by the number (14) 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 12814414704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544000).

12814414704 is an abundant number, since it is smaller than the sum of its proper divisors (32682673296).

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

12814414704 is a wasteful number, since it uses less digits than its factorization.

12814414704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 12814414704 in words is "twelve billion, eight hundred fourteen million, four hundred fourteen thousand, seven hundred four".