16544124144 has 240 divisors, whose sum is σ = 50727705600. Its totient is φ = 5013964800.

The previous prime is 16544124137. The next prime is 16544124161. The reversal of 16544124144 is 44142144561.

16544124144 is a `hidden beast` number, since 165 + 4 + 412 + 41 + 44 = 666.

It is a super-3 number, since 3×16544124144³ (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 16544124099 and 16544124108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11110152 + ... + 11111640.

It is an arithmetic number, because the mean of its divisors is an integer number (211365440).

Almost surely, 2^16544124144 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 16544124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25363852800).

16544124144 is an abundant number, since it is smaller than the sum of its proper divisors (34183581456).

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

16544124144 is a wasteful number, since it uses less digits than its factorization.

16544124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1675 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 16544124144 in words is "sixteen billion, five hundred forty-four million, one hundred twenty-four thousand, one hundred forty-four".