13582467843282 has 128 divisors (see below), whose sum is σ = 32998766411520. Its totient is φ = 4115775628800.

The previous prime is 13582467843233. The next prime is 13582467843319. The reversal of 13582467843282 is 28234876428531.

It is a happy number.

13582467843282 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 246 + 78 + 43 + 282 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191534032 + ... + 191604932.

It is an arithmetic number, because the mean of its divisors is an integer number (257802862590).

Almost surely, 2^{13582467843282} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13582467843282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499383205760).

13582467843282 is an abundant number, since it is smaller than the sum of its proper divisors (19416298568238).

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

13582467843282 is a wasteful number, since it uses less digits than its factorization.

13582467843282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75065 (or 75059 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 13582467843282 in words is "thirteen trillion, five hundred eighty-two billion, four hundred sixty-seven million, eight hundred forty-three thousand, two hundred eighty-two".