16616269824 has 576 divisors, whose sum is σ = 58001448960. Its totient is φ = 4136140800.

The previous prime is 16616269783. The next prime is 16616269843. The reversal of 16616269824 is 42896261661.

It is a super-2 number, since 2×16616269824² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161322957 + ... + 161323059.

It is an arithmetic number, because the mean of its divisors is an integer number (100696960).

Almost surely, 2^16616269824 is an apocalyptic number.

16616269824 is a gapful number since it is divisible by the number (14) 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 16616269824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29000724480).

16616269824 is an abundant number, since it is smaller than the sum of its proper divisors (41385179136).

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

16616269824 is a wasteful number, since it uses less digits than its factorization.

16616269824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 16616269824 in words is "sixteen billion, six hundred sixteen million, two hundred sixty-nine thousand, eight hundred twenty-four".