13582149681 has 32 divisors (see below), whose sum is σ = 19657048320. Its totient is φ = 8316000000.

The previous prime is 13582149667. The next prime is 13582149701. The reversal of 13582149681 is 18694128531.

It is a happy number.

It is not a de Polignac number, because 13582149681 - 2¹⁴ = 13582133297 is a prime.

It is a super-2 number, since 2×13582149681² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13582149681.

It is not an unprimeable number, because it can be changed into a prime (13582142681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343431 + ... + 380931.

It is an arithmetic number, because the mean of its divisors is an integer number (614282760).

Almost surely, 2^13582149681 is an apocalyptic number.

It is an amenable number.

13582149681 is a deficient number, since it is larger than the sum of its proper divisors (6074898639).

13582149681 is a wasteful number, since it uses less digits than its factorization.

13582149681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37737.

The product of its digits is 414720, while the sum is 48.

The spelling of 13582149681 in words is "thirteen billion, five hundred eighty-two million, one hundred forty-nine thousand, six hundred eighty-one".