9964123560000 has 315 divisors, whose sum is σ = 35695812225073. Its totient is φ = 2656594560000.

The previous prime is 9964123559993. The next prime is 9964123560031. The reversal of 9964123560000 is 653214699.

The square root of 9964123560000 is 3156600.

It is a perfect power (a square), and thus also a powerful number.

9964123560000 is a `hidden beast` number, since 9 + 9 + 6 + 4 + 1 + 2 + 35 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 5265703162944 + 4698420397056 = 2294712^2 + 2167584^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1893957370 + ... + 1893962630.

Almost surely, 2^{9964123560000} is an apocalyptic number.

9964123560000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9964123560000 is the 3156600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9964123560000

9964123560000 is an abundant number, since it is smaller than the sum of its proper divisors (25731688665073).

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

9964123560000 is an frugal number, since it uses more digits than its factorization.

9964123560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10560 (or 5271 counting only the distinct ones).

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

Adding to 9964123560000 its reverse (653214699), we get a palindrome (9964776774699).

The spelling of 9964123560000 in words is "nine trillion, nine hundred sixty-four billion, one hundred twenty-three million, five hundred sixty thousand".