13421000064 has 128 divisors (see below), whose sum is σ = 37828356480. Its totient is φ = 4201390080.

The previous prime is 13421000063. The next prime is 13421000137. The reversal of 13421000064 is 46000012431.

13421000064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 13421000064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13421000063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3412179 + ... + 3416109.

It is an arithmetic number, because the mean of its divisors is an integer number (295534035).

Almost surely, 2^13421000064 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 13421000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18914178240).

13421000064 is an abundant number, since it is smaller than the sum of its proper divisors (24407356416).

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

13421000064 is a wasteful number, since it uses less digits than its factorization.

13421000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13421000064 its reverse (46000012431), we get a palindrome (59421012495).

The spelling of 13421000064 in words is "thirteen billion, four hundred twenty-one million, sixty-four", and thus it is an aban number.