10963450331136 has 504 divisors, whose sum is σ = 34791030447264. Its totient is φ = 3438154874880.

The previous prime is 10963450331123. The next prime is 10963450331233. The reversal of 10963450331136 is 63113305436901.

10963450331136 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 3 + 4 + 503 + 3 + 1 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10963450331091 and 10963450331100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4331666191 + ... + 4331668721.

It is an arithmetic number, because the mean of its divisors is an integer number (69029822316).

Almost surely, 2^{10963450331136} is an apocalyptic number.

10963450331136 is a gapful number since it is divisible by the number (16) 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 10963450331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17395515223632).

10963450331136 is an abundant number, since it is smaller than the sum of its proper divisors (23827580116128).

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

10963450331136 is an frugal number, since it uses more digits than its factorization.

10963450331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 10963450331136 in words is "ten trillion, nine hundred sixty-three billion, four hundred fifty million, three hundred thirty-one thousand, one hundred thirty-six".