16255746144 has 240 divisors, whose sum is σ = 53370757440. Its totient is φ = 4811063040.

The previous prime is 16255746121. The next prime is 16255746151. The reversal of 16255746144 is 44164755261.

16255746144 is a `hidden beast` number, since 1 + 6 + 25 + 5 + 7 + 4 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16255746144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1219387 + ... + 1232645.

It is an arithmetic number, because the mean of its divisors is an integer number (222378156).

Almost surely, 2^16255746144 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 16255746144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26685378720).

16255746144 is an abundant number, since it is smaller than the sum of its proper divisors (37115011296).

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

16255746144 is a wasteful number, since it uses less digits than its factorization.

16255746144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13335 (or 13318 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 16255746144 in words is "sixteen billion, two hundred fifty-five million, seven hundred forty-six thousand, one hundred forty-four".