13474082960 has 80 divisors (see below), whose sum is σ = 34046831280. Its totient is φ = 4929361920.

The previous prime is 13474082899. The next prime is 13474082971. The reversal of 13474082960 is 6928047431.

It can be written as a sum of positive squares in 8 ways, for example, as 1761648784 + 11712434176 = 41972^2 + 108224^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13474082960² (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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53930 + ... + 172790.

It is an arithmetic number, because the mean of its divisors is an integer number (425585391).

Almost surely, 2^13474082960 is an apocalyptic number.

13474082960 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 13474082960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17023415640).

13474082960 is an abundant number, since it is smaller than the sum of its proper divisors (20572748320).

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

13474082960 is a wasteful number, since it uses less digits than its factorization.

13474082960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118996 (or 118990 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 13474082960 in words is "thirteen billion, four hundred seventy-four million, eighty-two thousand, nine hundred sixty".