13860440064 has 144 divisors (see below), whose sum is σ = 41515634160. Its totient is φ = 4619980800.

The previous prime is 13860440063. The next prime is 13860440071. The reversal of 13860440064 is 46004406831.

13860440064 is a `hidden beast` number, since 1 + 3 + 8 + 604 + 40 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13860440064² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13860440063) 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 11 ways as a sum of consecutive naturals, for example, 483739 + ... + 511589.

It is an arithmetic number, because the mean of its divisors is an integer number (288303015).

Almost surely, 2^13860440064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13860440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20757817080).

13860440064 is an abundant number, since it is smaller than the sum of its proper divisors (27655194096).

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

13860440064 is an frugal number, since it uses more digits than its factorization.

13860440064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27888 (or 27856 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 13860440064 its reverse (46004406831), we get a palindrome (59864846895).

The spelling of 13860440064 in words is "thirteen billion, eight hundred sixty million, four hundred forty thousand, sixty-four".