12734813160 has 96 divisors (see below), whose sum is σ = 41471015040. Its totient is φ = 3389150592.

The previous prime is 12734813149. The next prime is 12734813171. The reversal of 12734813160 is 6131843721.

It is a happy number.

12734813160 is a `hidden beast` number, since 12 + 7 + 3 + 481 + 3 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (12734813149) and next prime (12734813171).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145917 + ... + 216243.

It is an arithmetic number, because the mean of its divisors is an integer number (431989740).

Almost surely, 2^12734813160 is an apocalyptic number.

12734813160 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 12734813160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20735507520).

12734813160 is an abundant number, since it is smaller than the sum of its proper divisors (28736201880).

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

12734813160 is a wasteful number, since it uses less digits than its factorization.

12734813160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70847 (or 70840 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12734813160 in words is "twelve billion, seven hundred thirty-four million, eight hundred thirteen thousand, one hundred sixty".