966458045280 has 384 divisors, whose sum is σ = 3754659944448. Its totient is φ = 203488837632.

The previous prime is 966458045269. The next prime is 966458045317. The reversal of 966458045280 is 82540854669.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 966458045280.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 21249444 + ... + 21294876.

It is an arithmetic number, because the mean of its divisors is an integer number (9777760272).

Almost surely, 2^966458045280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966458045280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877329972224).

966458045280 is an abundant number, since it is smaller than the sum of its proper divisors (2788201899168).

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

966458045280 is a wasteful number, since it uses less digits than its factorization.

966458045280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45958 (or 45950 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 966458045280 in words is "nine hundred sixty-six billion, four hundred fifty-eight million, forty-five thousand, two hundred eighty".