16748814424320 has 1728 divisors, whose sum is σ = 66736490768640. Its totient is φ = 4023613440000.

The previous prime is 16748814424313. The next prime is 16748814424327. The reversal of 16748814424320 is 2342441884761.

16748814424320 is a `hidden beast` number, since 1 + 67 + 4 + 8 + 8 + 144 + 2 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16748814424313) and next prime (16748814424327).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16748814424327) by changing a digit.

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, 66728344195 + ... + 66728344445.

It is an arithmetic number, because the mean of its divisors is an integer number (38620654380).

Almost surely, 2^{16748814424320} is an apocalyptic number.

16748814424320 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 16748814424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33368245384320).

16748814424320 is an abundant number, since it is smaller than the sum of its proper divisors (49987676344320).

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

16748814424320 is an equidigital number, since it uses as much as digits as its factorization.

16748814424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 16748814424320 in words is "sixteen trillion, seven hundred forty-eight billion, eight hundred fourteen million, four hundred twenty-four thousand, three hundred twenty".