1680192294144 has 1728 divisors, whose sum is σ = 6463901122560. Its totient is φ = 382365204480.

The previous prime is 1680192294133. The next prime is 1680192294149. The reversal of 1680192294144 is 4414922910861.

It is a super-2 number, since 2×1680192294144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680192294149) 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 191 ways as a sum of consecutive naturals, for example, 54199751409 + ... + 54199751439.

It is an arithmetic number, because the mean of its divisors is an integer number (3740683520).

Almost surely, 2^{1680192294144} is an apocalyptic number.

1680192294144 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 1680192294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231950561280).

1680192294144 is an abundant number, since it is smaller than the sum of its proper divisors (4783708828416).

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

1680192294144 is an equidigital number, since it uses as much as digits as its factorization.

1680192294144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 1680192294144 in words is "one trillion, six hundred eighty billion, one hundred ninety-two million, two hundred ninety-four thousand, one hundred forty-four".