16056450144 has 576 divisors, whose sum is σ = 57364070400. Its totient is φ = 4247147520.

The previous prime is 16056450133. The next prime is 16056450161. The reversal of 16056450144 is 44105465061.

16056450144 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 645 + 0 + 1 + 4 + 4 = 666.

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 = 16056450099 and 16056450108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84065089 + ... + 84065279.

It is an arithmetic number, because the mean of its divisors is an integer number (99590400).

Almost surely, 2^16056450144 is an apocalyptic number.

16056450144 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 16056450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28682035200).

16056450144 is an abundant number, since it is smaller than the sum of its proper divisors (41307620256).

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

16056450144 is a wasteful number, since it uses less digits than its factorization.

16056450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 16056450144 in words is "sixteen billion, fifty-six million, four hundred fifty thousand, one hundred forty-four".