16824124032 has 128 divisors (see below), whose sum is σ = 46989849600. Its totient is φ = 5325680640.

The previous prime is 16824124027. The next prime is 16824124033. The reversal of 16824124032 is 23042142861.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×16824124032² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16824123984 and 16824124002.

It is not an unprimeable number, because it can be changed into a prime (16824124033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666913 + ... + 691679.

It is an arithmetic number, because the mean of its divisors is an integer number (367108200).

Almost surely, 2^16824124032 is an apocalyptic number.

16824124032 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 16824124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23494924800).

16824124032 is an abundant number, since it is smaller than the sum of its proper divisors (30165725568).

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

16824124032 is a wasteful number, since it uses less digits than its factorization.

16824124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24874 (or 24862 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 16824124032 its reverse (23042142861), we get a palindrome (39866266893).

The spelling of 16824124032 in words is "sixteen billion, eight hundred twenty-four million, one hundred twenty-four thousand, thirty-two".