13814312064 has 384 divisors, whose sum is σ = 47595729600. Its totient is φ = 3517710336.

The previous prime is 13814312063. The next prime is 13814312087. The reversal of 13814312064 is 46021341831.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (13814312063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6076432 + ... + 6078704.

Almost surely, 2^13814312064 is an apocalyptic number.

13814312064 is a gapful number since it is divisible by the number (14) 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 13814312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23797864800).

13814312064 is an abundant number, since it is smaller than the sum of its proper divisors (33781417536).

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

13814312064 is a wasteful number, since it uses less digits than its factorization.

13814312064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 13814312064 its reverse (46021341831), we get a palindrome (59835653895).

The spelling of 13814312064 in words is "thirteen billion, eight hundred fourteen million, three hundred twelve thousand, sixty-four".