16266829644 has 192 divisors, whose sum is σ = 48703334400. Its totient is φ = 4650587136.

The previous prime is 16266829633. The next prime is 16266829681. The reversal of 16266829644 is 44692866261.

16266829644 is a `hidden beast` number, since 1 + 626 + 6 + 8 + 2 + 9 + 6 + 4 + 4 = 666.

16266829644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1881259 + ... + 1889885.

It is an arithmetic number, because the mean of its divisors is an integer number (253663200).

Almost surely, 2^16266829644 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 16266829644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24351667200).

16266829644 is an abundant number, since it is smaller than the sum of its proper divisors (32436504756).

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

16266829644 is a wasteful number, since it uses less digits than its factorization.

16266829644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8749 (or 8741 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 16266829644 in words is "sixteen billion, two hundred sixty-six million, eight hundred twenty-nine thousand, six hundred forty-four".