13827983232 has 256 divisors, whose sum is σ = 44257881600. Its totient is φ = 3741523968.

The previous prime is 13827983227. The next prime is 13827983251. The reversal of 13827983232 is 23238972831.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4129783 + ... + 4133129.

It is an arithmetic number, because the mean of its divisors is an integer number (172882350).

Almost surely, 2^13827983232 is an apocalyptic number.

13827983232 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 13827983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22128940800).

13827983232 is an abundant number, since it is smaller than the sum of its proper divisors (30429898368).

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

13827983232 is a wasteful number, since it uses less digits than its factorization.

13827983232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3441 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The spelling of 13827983232 in words is "thirteen billion, eight hundred twenty-seven million, nine hundred eighty-three thousand, two hundred thirty-two".