16455612672000 has 960 divisors, whose sum is σ = 64950998832720. Its totient is φ = 4129947648000.

The previous prime is 16455612671969. The next prime is 16455612672053. The reversal of 16455612672000 is 27621655461.

16455612672000 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 5 + 612 + 6 + 7 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6782816019456 + 9672796652544 = 2604384^2 + 3110112^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 352488660 + ... + 352535340.

Almost surely, 2^{16455612672000} is an apocalyptic number.

16455612672000 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 16455612672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32475499416360).

16455612672000 is an abundant number, since it is smaller than the sum of its proper divisors (48495386160720).

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

16455612672000 is an equidigital number, since it uses as much as digits as its factorization.

16455612672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46747 (or 46708 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 16455612672000 in words is "sixteen trillion, four hundred fifty-five billion, six hundred twelve million, six hundred seventy-two thousand".