1945335168 has 192 divisors, whose sum is σ = 6426220320. Its totient is φ = 553328640.

The previous prime is 1945335149. The next prime is 1945335169. The reversal of 1945335168 is 8615335491.

1945335168 is a `hidden beast` number, since 1 + 9 + 4 + 533 + 51 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1945335169) 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 23 ways as a sum of consecutive naturals, for example, 2555908 + ... + 2556668.

Almost surely, 2^1945335168 is an apocalyptic number.

1945335168 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 1945335168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213110160).

1945335168 is an abundant number, since it is smaller than the sum of its proper divisors (4480885152).

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

1945335168 is a wasteful number, since it uses less digits than its factorization.

1945335168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1090 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 1945335168 is about 44105.9538838012. The cubic root of 1945335168 is about 1248.3359549195.

The spelling of 1945335168 in words is "one billion, nine hundred forty-five million, three hundred thirty-five thousand, one hundred sixty-eight".