13824761984 has 256 divisors, whose sum is σ = 33164328960. Its totient is φ = 5673676800.

The previous prime is 13824761933. The next prime is 13824762019. The reversal of 13824761984 is 48916742831.

It is a super-2 number, since 2×13824761984² (a number of 21 digits) contains 22 as substring.

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, 47183342 + ... + 47183634.

It is an arithmetic number, because the mean of its divisors is an integer number (129548160).

Almost surely, 2^13824761984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13824761984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582164480).

13824761984 is an abundant number, since it is smaller than the sum of its proper divisors (19339566976).

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

13824761984 is a wasteful number, since it uses less digits than its factorization.

13824761984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 53.

The spelling of 13824761984 in words is "thirteen billion, eight hundred twenty-four million, seven hundred sixty-one thousand, nine hundred eighty-four".