13446920160 has 576 divisors, whose sum is σ = 50854003200. Its totient is φ = 3345795072.

The previous prime is 13446920143. The next prime is 13446920191. The reversal of 13446920160 is 6102964431.

13446920160 is a `hidden beast` number, since 1 + 3 + 446 + 9 + 201 + 6 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80520397 + ... + 80520563.

It is an arithmetic number, because the mean of its divisors is an integer number (88288200).

Almost surely, 2^13446920160 is an apocalyptic number.

13446920160 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 13446920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25427001600).

13446920160 is an abundant number, since it is smaller than the sum of its proper divisors (37407083040).

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

13446920160 is a wasteful number, since it uses less digits than its factorization.

13446920160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

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

The spelling of 13446920160 in words is "thirteen billion, four hundred forty-six million, nine hundred twenty thousand, one hundred sixty".