16438829472 has 288 divisors, whose sum is σ = 52633893312. Its totient is φ = 5016950784.

The previous prime is 16438829453. The next prime is 16438829479. The reversal of 16438829472 is 27492883461.

16438829472 is a `hidden beast` number, since 1 + 64 + 38 + 82 + 9 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×16438829472² (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 not an unprimeable number, because it can be changed into a prime (16438829479) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13848463 + ... + 13849649.

It is an arithmetic number, because the mean of its divisors is an integer number (182756574).

Almost surely, 2^16438829472 is an apocalyptic number.

16438829472 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 16438829472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26316946656).

16438829472 is an abundant number, since it is smaller than the sum of its proper divisors (36195063840).

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

16438829472 is a wasteful number, since it uses less digits than its factorization.

16438829472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1342 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 16438829472 in words is "sixteen billion, four hundred thirty-eight million, eight hundred twenty-nine thousand, four hundred seventy-two".