16676741749248 has 800 divisors, whose sum is σ = 58218016665600. Its totient is φ = 4750790123520.

The previous prime is 16676741749247. The next prime is 16676741749279. The reversal of 16676741749248 is 84294714767661.

16676741749248 is a `hidden beast` number, since 1 + 6 + 67 + 6 + 74 + 1 + 7 + 492 + 4 + 8 = 666.

It is a super-2 number, since 2×16676741749248² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (682795008) is a multiple of the sum of its prime divisors (3456).

It is not an unprimeable number, because it can be changed into a prime (16676741749247) 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 79 ways as a sum of consecutive naturals, for example, 5448133638 + ... + 5448136698.

It is an arithmetic number, because the mean of its divisors is an integer number (72772520832).

Almost surely, 2^{16676741749248} is an apocalyptic number.

16676741749248 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 16676741749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29109008332800).

16676741749248 is an abundant number, since it is smaller than the sum of its proper divisors (41541274916352).

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

16676741749248 is an frugal number, since it uses more digits than its factorization.

16676741749248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3456 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 72.

The spelling of 16676741749248 in words is "sixteen trillion, six hundred seventy-six billion, seven hundred forty-one million, seven hundred forty-nine thousand, two hundred forty-eight".