13824884736 has 272 divisors, whose sum is σ = 44186655520. Its totient is φ = 4246732800.

The previous prime is 13824884719. The next prime is 13824884767. The reversal of 13824884736 is 63748842831.

13824884736 is a `hidden beast` number, since 13 + 82 + 4 + 88 + 473 + 6 = 666.

It is a super-2 number, since 2×13824884736² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23002836 + ... + 23003436.

Almost surely, 2^13824884736 is an apocalyptic number.

13824884736 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 13824884736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22093327760).

13824884736 is an abundant number, since it is smaller than the sum of its proper divisors (30361770784).

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

13824884736 is an frugal number, since it uses more digits than its factorization.

13824884736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 619 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

It can be divided in two parts, 13824 and 884736, that multiplied together give a 6-th power (12230590464 = 48⁶).

The spelling of 13824884736 in words is "thirteen billion, eight hundred twenty-four million, eight hundred eighty-four thousand, seven hundred thirty-six".