13498416960 has 336 divisors, whose sum is σ = 50520575616. Its totient is φ = 2989080576.

The previous prime is 13498416947. The next prime is 13498416961. The reversal of 13498416960 is 6961489431.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13498416961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57933004 + ... + 57933236.

It is an arithmetic number, because the mean of its divisors is an integer number (150358856).

Almost surely, 2^13498416960 is an apocalyptic number.

13498416960 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 13498416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25260287808).

13498416960 is an abundant number, since it is smaller than the sum of its proper divisors (37022158656).

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

13498416960 is an equidigital number, since it uses as much as digits as its factorization.

13498416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 13498416960 in words is "thirteen billion, four hundred ninety-eight million, four hundred sixteen thousand, nine hundred sixty".