13108418064 has 405 divisors, whose sum is σ = 45157471437. Its totient is φ = 3539176704.

The previous prime is 13108418047. The next prime is 13108418149. The reversal of 13108418064 is 46081480131.

It is a happy number.

The square root of 13108418064 is 114492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6873736464 + 6234681600 = 82908^2 + 78960^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 278902489 + ... + 278902535.

Almost surely, 2^13108418064 is an apocalyptic number.

13108418064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13108418064 is the 114492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13108418064

13108418064 is an abundant number, since it is smaller than the sum of its proper divisors (32049053373).

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

13108418064 is a wasteful number, since it uses less digits than its factorization.

13108418064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 13108418064 by its sum of digits (36), we get a square (471903050304 = 686952²).

13108418064 divided by its sum of digits (36) gives a square (364122724 = 19082²).

Adding to 13108418064 its reverse (46081480131), we get a palindrome (59189898195).

The spelling of 13108418064 in words is "thirteen billion, one hundred eight million, four hundred eighteen thousand, sixty-four".