13675197480 has 128 divisors (see below), whose sum is σ = 46916064000. Its totient is φ = 3123781632.

The previous prime is 13675197479. The next prime is 13675197517. The reversal of 13675197480 is 8479157631.

It is a happy number.

13675197480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 116941²-1.

It is a super-2 number, since 2×13675197480² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1632984 + ... + 1641336.

It is an arithmetic number, because the mean of its divisors is an integer number (366531750).

Almost surely, 2^13675197480 is an apocalyptic number.

13675197480 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 13675197480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23458032000).

13675197480 is an abundant number, since it is smaller than the sum of its proper divisors (33240866520).

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

13675197480 is a wasteful number, since it uses less digits than its factorization.

13675197480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10323 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 13675197480 in words is "thirteen billion, six hundred seventy-five million, one hundred ninety-seven thousand, four hundred eighty".