1008144945 has 48 divisors (see below), whose sum is σ = 1774905600. Its totient is φ = 529296768.

The previous prime is 1008144889. The next prime is 1008144979. The reversal of 1008144945 is 5494418001.

It is not a de Polignac number, because 1008144945 - 2⁹ = 1008144433 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 921819 + ... + 922911.

It is an arithmetic number, because the mean of its divisors is an integer number (36977200).

Almost surely, 2^1008144945 is an apocalyptic number.

1008144945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1008144945 is a deficient number, since it is larger than the sum of its proper divisors (766760655).

1008144945 is a wasteful number, since it uses less digits than its factorization.

1008144945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1008144945 is about 31751.2983199113. The cubic root of 1008144945 is about 1002.7076437153.

The spelling of 1008144945 in words is "one billion, eight million, one hundred forty-four thousand, nine hundred forty-five".