10963144812096 has 147 divisors (see below), whose sum is σ = 32619692584081. Its totient is φ = 3654143207424.

The previous prime is 10963144812089. The next prime is 10963144812133. The reversal of 10963144812096 is 69021844136901.

The square root of 10963144812096 is 3311064.

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

10963144812096 is a `hidden beast` number, since 1 + 0 + 9 + 63 + 14 + 481 + 2 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1017951852096 + 9945192960000 = 1008936^2 + 3153600^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 715182160 + ... + 715197488.

Almost surely, 2^{10963144812096} is an apocalyptic number.

10963144812096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10963144812096 is the 3311064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10963144812096

10963144812096 is an abundant number, since it is smaller than the sum of its proper divisors (21656547771985).

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

10963144812096 is an frugal number, since it uses more digits than its factorization.

10963144812096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30688 (or 15334 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

Adding to 10963144812096 its reverse (69021844136901), we get a palindrome (79984988948997).

The spelling of 10963144812096 in words is "ten trillion, nine hundred sixty-three billion, one hundred forty-four million, eight hundred twelve thousand, ninety-six".