965448666000 has 2880 divisors, whose sum is σ = 4648948162560. Its totient is φ = 190207180800.

The previous prime is 965448665989. The next prime is 965448666001. The reversal of 965448666000 is 666844569.

It is a super-2 number, since 2×965448666000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965448666001) 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 575 ways as a sum of consecutive naturals, for example, 7601957937 + ... + 7601958063.

It is an arithmetic number, because the mean of its divisors is an integer number (1614218112).

Almost surely, 2^965448666000 is an apocalyptic number.

965448666000 is a gapful number since it is divisible by the number (90) 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 965448666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324474081280).

965448666000 is an abundant number, since it is smaller than the sum of its proper divisors (3683499496560).

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

965448666000 is a wasteful number, since it uses less digits than its factorization.

965448666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 965448666000 in words is "nine hundred sixty-five billion, four hundred forty-eight million, six hundred sixty-six thousand".