13894145280 has 324 divisors, whose sum is σ = 49462741692. Its totient is φ = 3600875520.

The previous prime is 13894145273. The next prime is 13894145281. The reversal of 13894145280 is 8254149831.

13894145280 is a `hidden beast` number, since 1 + 3 + 89 + 41 + 4 + 528 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 589906944 + 13304238336 = 24288^2 + 115344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13894145281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15770440 + ... + 15771320.

It is an arithmetic number, because the mean of its divisors is an integer number (152662783).

Almost surely, 2^13894145280 is an apocalyptic number.

13894145280 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 13894145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24731370846).

13894145280 is an abundant number, since it is smaller than the sum of its proper divisors (35568596412).

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

13894145280 is an equidigital number, since it uses as much as digits as its factorization.

13894145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 13894145280 in words is "thirteen billion, eight hundred ninety-four million, one hundred forty-five thousand, two hundred eighty".