16444406160 has 800 divisors, whose sum is σ = 71385431040. Its totient is φ = 3415965696.

The previous prime is 16444406149. The next prime is 16444406177. The reversal of 16444406160 is 6160444461.

16444406160 is a `hidden beast` number, since 1 + 644 + 4 + 4 + 0 + 6 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46584544 + ... + 46584896.

Almost surely, 2^16444406160 is an apocalyptic number.

16444406160 is a gapful number since it is divisible by the number (10) 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 16444406160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35692715520).

16444406160 is an abundant number, since it is smaller than the sum of its proper divisors (54941024880).

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

16444406160 is a wasteful number, since it uses less digits than its factorization.

16444406160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 16444406160 in words is "sixteen billion, four hundred forty-four million, four hundred six thousand, one hundred sixty".