1945168512 has 256 divisors, whose sum is σ = 6260613120. Its totient is φ = 523100160.

The previous prime is 1945168507. The next prime is 1945168523. The reversal of 1945168512 is 2158615491.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4512937 + ... + 4513367.

It is an arithmetic number, because the mean of its divisors is an integer number (24455520).

Almost surely, 2^1945168512 is an apocalyptic number.

1945168512 is a gapful number since it is divisible by the number (12) 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 1945168512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130306560).

1945168512 is an abundant number, since it is smaller than the sum of its proper divisors (4315444608).

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

1945168512 is a wasteful number, since it uses less digits than its factorization.

1945168512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its digits is 86400, while the sum is 42.

The square root of 1945168512 is about 44104.0645745945. The cubic root of 1945168512 is about 1248.3003057725.

The spelling of 1945168512 in words is "one billion, nine hundred forty-five million, one hundred sixty-eight thousand, five hundred twelve".