966132945 has 48 divisors (see below), whose sum is σ = 1718230800. Its totient is φ = 502018560.

The previous prime is 966132929. The next prime is 966132953. The reversal of 966132945 is 549231669.

966132945 is a `hidden beast` number, since 9 + 6 + 613 + 29 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 129072321 + 837060624 = 11361^2 + 28932^2 .

It is not a de Polignac number, because 966132945 - 2⁴ = 966132929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 966132945.

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, 297591 + ... + 300819.

It is an arithmetic number, because the mean of its divisors is an integer number (35796475).

Almost surely, 2^966132945 is an apocalyptic number.

It is an amenable number.

966132945 is a deficient number, since it is larger than the sum of its proper divisors (752097855).

966132945 is a wasteful number, since it uses less digits than its factorization.

966132945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3407 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 966132945 is about 31082.6791798905. The cubic root of 966132945 is about 988.5810863887.

The spelling of 966132945 in words is "nine hundred sixty-six million, one hundred thirty-two thousand, nine hundred forty-five".