13465998720 has 384 divisors, whose sum is σ = 47716905600. Its totient is φ = 3498393600.

The previous prime is 13465998719. The next prime is 13465998727. The reversal of 13465998720 is 2789956431.

13465998720 is a `hidden beast` number, since 1 + 3 + 46 + 599 + 8 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13465998727) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 45958894 + ... + 45959186.

It is an arithmetic number, because the mean of its divisors is an integer number (124262775).

It is a 1-persistent number, because it is pandigital, but 2⋅13465998720 = 26931997440 is not.

Almost surely, 2^13465998720 is an apocalyptic number.

13465998720 is a gapful number since it is divisible by the number (10) 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 13465998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23858452800).

13465998720 is an abundant number, since it is smaller than the sum of its proper divisors (34250906880).

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

13465998720 is a wasteful number, since it uses less digits than its factorization.

13465998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 13465998720 in words is "thirteen billion, four hundred sixty-five million, nine hundred ninety-eight thousand, seven hundred twenty".