1651659216768 has 320 divisors, whose sum is σ = 5390012556720. Its totient is φ = 497902878720.

The previous prime is 1651659216719. The next prime is 1651659216769. The reversal of 1651659216768 is 8676129561561.

1651659216768 is a `hidden beast` number, since 1 + 6 + 516 + 59 + 2 + 1 + 6 + 7 + 68 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1651659216769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21973746 + ... + 22048782.

Almost surely, 2^{1651659216768} is an apocalyptic number.

1651659216768 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 1651659216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695006278360).

1651659216768 is an abundant number, since it is smaller than the sum of its proper divisors (3738353339952).

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

1651659216768 is a wasteful number, since it uses less digits than its factorization.

1651659216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75267 (or 75246 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 1651659216768 in words is "one trillion, six hundred fifty-one billion, six hundred fifty-nine million, two hundred sixteen thousand, seven hundred sixty-eight".