16045131852288 has 1440 divisors, whose sum is σ = 60797037704832. Its totient is φ = 3954637209600.

The previous prime is 16045131852263. The next prime is 16045131852359. The reversal of 16045131852288 is 88225813154061.

16045131852288 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 5 + 1 + 31 + 8 + 522 + 88 = 666.

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 143 ways as a sum of consecutive naturals, for example, 24274026678 + ... + 24274027338.

Almost surely, 2^{16045131852288} is an apocalyptic number.

16045131852288 is a gapful number since it is divisible by the number (18) 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 16045131852288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30398518852416).

16045131852288 is an abundant number, since it is smaller than the sum of its proper divisors (44751905852544).

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

16045131852288 is a wasteful number, since it uses less digits than its factorization.

16045131852288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 16045131852288 in words is "sixteen trillion, forty-five billion, one hundred thirty-one million, eight hundred fifty-two thousand, two hundred eighty-eight".