13346311680 has 400 divisors, whose sum is σ = 51489766944. Its totient is φ = 3284582400.

The previous prime is 13346311633. The next prime is 13346311681. The reversal of 13346311680 is 8611364331.

13346311680 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 631 + 16 + 8 + 0 = 666.

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 (13346311681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2693205 + ... + 2698155.

Almost surely, 2^13346311680 is an apocalyptic number.

13346311680 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 13346311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25744883472).

13346311680 is an abundant number, since it is smaller than the sum of its proper divisors (38143455264).

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

13346311680 is an equidigital number, since it uses as much as digits as its factorization.

13346311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13346311680 in words is "thirteen billion, three hundred forty-six million, three hundred eleven thousand, six hundred eighty".