16562250144 has 672 divisors, whose sum is σ = 58172083200. Its totient is φ = 4585351680.

The previous prime is 16562250139. The next prime is 16562250151. The reversal of 16562250144 is 44105226561.

16562250144 is a `hidden beast` number, since 1 + 6 + 562 + 2 + 50 + 1 + 44 = 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 = 16562250099 and 16562250108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 209648697 + ... + 209648775.

It is an arithmetic number, because the mean of its divisors is an integer number (86565600).

Almost surely, 2^16562250144 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 16562250144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29086041600).

16562250144 is an abundant number, since it is smaller than the sum of its proper divisors (41609833056).

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

16562250144 is a wasteful number, since it uses less digits than its factorization.

16562250144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

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

The spelling of 16562250144 in words is "sixteen billion, five hundred sixty-two million, two hundred fifty thousand, one hundred forty-four".