13406444688 has 480 divisors, whose sum is σ = 46737008640. Its totient is φ = 3271726080.

The previous prime is 13406444687. The next prime is 13406444693. The reversal of 13406444688 is 88644460431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13406444687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27304123 + ... + 27304613.

It is an arithmetic number, because the mean of its divisors is an integer number (97368768).

Almost surely, 2^13406444688 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 13406444688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23368504320).

13406444688 is an abundant number, since it is smaller than the sum of its proper divisors (33330563952).

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

13406444688 is a wasteful number, since it uses less digits than its factorization.

13406444688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 13406444688 in words is "thirteen billion, four hundred six million, four hundred forty-four thousand, six hundred eighty-eight".