964464210661248 has 768 divisors, whose sum is σ = 3198984978309120. Its totient is φ = 276171323904000.

The previous prime is 964464210661207. The next prime is 964464210661271. The reversal of 964464210661248 is 842166012464469.

964464210661248 is a `hidden beast` number, since 9 + 6 + 4 + 4 + 6 + 4 + 2 + 1 + 0 + 6 + 612 + 4 + 8 = 666.

964464210661248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72347469943 + ... + 72347483273.

It is an arithmetic number, because the mean of its divisors is an integer number (4165345023840).

Almost surely, 2^{964464210661248} 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 964464210661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599492489154560).

964464210661248 is an abundant number, since it is smaller than the sum of its proper divisors (2234520767647872).

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

964464210661248 is a wasteful number, since it uses less digits than its factorization.

964464210661248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17719 (or 17704 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 964464210661248 in words is "nine hundred sixty-four trillion, four hundred sixty-four billion, two hundred ten million, six hundred sixty-one thousand, two hundred forty-eight".