16281646164 has 144 divisors (see below), whose sum is σ = 51247288960. Its totient is φ = 4378199040.

The previous prime is 16281646151. The next prime is 16281646187. The reversal of 16281646164 is 46164618261.

16281646164 is a `hidden beast` number, since 1 + 6 + 28 + 1 + 6 + 4 + 616 + 4 = 666.

16281646164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 181224 + ... + 255744.

Almost surely, 2^16281646164 is an apocalyptic number.

16281646164 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 16281646164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25623644480).

16281646164 is an abundant number, since it is smaller than the sum of its proper divisors (34965642796).

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

16281646164 is a wasteful number, since it uses less digits than its factorization.

16281646164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74575 (or 74550 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 16281646164 in words is "sixteen billion, two hundred eighty-one million, six hundred forty-six thousand, one hundred sixty-four".