16538173344000 has 1728 divisors, whose sum is σ = 78100150302720. Its totient is φ = 3255552000000.

The previous prime is 16538173343969. The next prime is 16538173344071. The reversal of 16538173344000 is 44337183561.

16538173344000 is a `hidden beast` number, since 1 + 6 + 5 + 38 + 173 + 3 + 440 + 0 + 0 = 666.

It is a super-2 number, since 2×16538173344000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 421324375 + ... + 421363625.

It is an arithmetic number, because the mean of its divisors is an integer number (45196846240).

Almost surely, 2^{16538173344000} is an apocalyptic number.

16538173344000 is a gapful number since it is divisible by the number (10) 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 16538173344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39050075151360).

16538173344000 is an abundant number, since it is smaller than the sum of its proper divisors (61561976958720).

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

16538173344000 is a wasteful number, since it uses less digits than its factorization.

16538173344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39325 (or 39298 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 16538173344000 in words is "sixteen trillion, five hundred thirty-eight billion, one hundred seventy-three million, three hundred forty-four thousand".