16450716672000 has 2688 divisors, whose sum is σ = 69626794805568. Its totient is φ = 3699376128000.

The previous prime is 16450716671993. The next prime is 16450716672043. The reversal of 16450716672000 is 27661705461.

16450716672000 is a `hidden beast` number, since 1 + 6 + 450 + 71 + 66 + 72 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 5457195012096 + 10993521659904 = 2336064^2 + 3315648^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83506175902 + ... + 83506176098.

Almost surely, 2^{16450716672000} is an apocalyptic number.

16450716672000 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 16450716672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34813397402784).

16450716672000 is an abundant number, since it is smaller than the sum of its proper divisors (53176078133568).

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

16450716672000 is a wasteful number, since it uses less digits than its factorization.

16450716672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 16450716672000 in words is "sixteen trillion, four hundred fifty billion, seven hundred sixteen million, six hundred seventy-two thousand".