13414049064 has 224 divisors, whose sum is σ = 42017761800. Its totient is φ = 3984422400.

The previous prime is 13414049063. The next prime is 13414049069. The reversal of 13414049064 is 46094041431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10229704164 + 3184344900 = 101142^2 + 56430^2 .

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 (13414049063) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2195614 + ... + 2201714.

Almost surely, 2^13414049064 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 13414049064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21008880900).

13414049064 is an abundant number, since it is smaller than the sum of its proper divisors (28603712736).

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

13414049064 is a wasteful number, since it uses less digits than its factorization.

13414049064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13414049064 in words is "thirteen billion, four hundred fourteen million, forty-nine thousand, sixty-four".