16812661791744 has 1056 divisors, whose sum is σ = 64101223979520. Its totient is φ = 4281041092608.

The previous prime is 16812661791707. The next prime is 16812661791769. The reversal of 16812661791744 is 44719716621861.

It is a happy number.

16812661791744 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 2 + 6 + 617 + 9 + 1 + 7 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 656654847 + ... + 656680449.

Almost surely, 2^{16812661791744} is an apocalyptic number.

16812661791744 is a gapful number since it is divisible by the number (14) 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 16812661791744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32050611989760).

16812661791744 is an abundant number, since it is smaller than the sum of its proper divisors (47288562187776).

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

16812661791744 is a wasteful number, since it uses less digits than its factorization.

16812661791744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25687 (or 25657 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 16812661791744 in words is "sixteen trillion, eight hundred twelve billion, six hundred sixty-one million, seven hundred ninety-one thousand, seven hundred forty-four".