13867642032 has 80 divisors (see below), whose sum is σ = 36823318752. Its totient is φ = 4493905920.

The previous prime is 13867642031. The next prime is 13867642049. The reversal of 13867642032 is 23024676831.

13867642032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13867642032² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13867642031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2876488 + ... + 2881304.

Almost surely, 2^13867642032 is an apocalyptic number.

13867642032 is a gapful number since it is divisible by the number (12) 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 13867642032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18411659376).

13867642032 is an abundant number, since it is smaller than the sum of its proper divisors (22955676720).

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

13867642032 is a wasteful number, since it uses less digits than its factorization.

13867642032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 13867642032 in words is "thirteen billion, eight hundred sixty-seven million, six hundred forty-two thousand, thirty-two".