13831919136 has 432 divisors, whose sum is σ = 48849091200. Its totient is φ = 3690925056.

The previous prime is 13831919119. The next prime is 13831919243. The reversal of 13831919136 is 63191913831.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13831919091 and 13831919100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21181786 + ... + 21182438.

It is an arithmetic number, because the mean of its divisors is an integer number (113076600).

Almost surely, 2^13831919136 is an apocalyptic number.

13831919136 is a gapful number since it is divisible by the number (16) 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 13831919136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24424545600).

13831919136 is an abundant number, since it is smaller than the sum of its proper divisors (35017172064).

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

13831919136 is a wasteful number, since it uses less digits than its factorization.

13831919136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 763 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The spelling of 13831919136 in words is "thirteen billion, eight hundred thirty-one million, nine hundred nineteen thousand, one hundred thirty-six".