12313723680 has 576 divisors, whose sum is σ = 46671206400. Its totient is φ = 3056901120.

The previous prime is 12313723657. The next prime is 12313723717. The reversal of 12313723680 is 8632731321.

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 95 ways as a sum of consecutive naturals, for example, 58358775 + ... + 58358985.

It is an arithmetic number, because the mean of its divisors is an integer number (81026400).

Almost surely, 2^12313723680 is an apocalyptic number.

12313723680 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 12313723680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23335603200).

12313723680 is an abundant number, since it is smaller than the sum of its proper divisors (34357482720).

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

12313723680 is a wasteful number, since it uses less digits than its factorization.

12313723680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12313723680 in words is "twelve billion, three hundred thirteen million, seven hundred twenty-three thousand, six hundred eighty".