13830781536 has 576 divisors, whose sum is σ = 48698496000. Its totient is φ = 3784734720.

The previous prime is 13830781519. The next prime is 13830781541. The reversal of 13830781536 is 63518703831.

13830781536 is a `hidden beast` number, since 1 + 3 + 8 + 30 + 7 + 81 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13830781491 and 13830781500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126887850 + ... + 126887958.

It is an arithmetic number, because the mean of its divisors is an integer number (84546000).

Almost surely, 2^13830781536 is an apocalyptic number.

13830781536 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 13830781536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24349248000).

13830781536 is an abundant number, since it is smaller than the sum of its proper divisors (34867714464).

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

13830781536 is a wasteful number, since it uses less digits than its factorization.

13830781536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13830781536 in words is "thirteen billion, eight hundred thirty million, seven hundred eighty-one thousand, five hundred thirty-six".