10996545738816 has 945 divisors, whose sum is σ = 36986894674653. Its totient is φ = 3228028277760.

The previous prime is 10996545738811. The next prime is 10996545738859. The reversal of 10996545738816 is 61883754569901.

The square root of 10996545738816 is 3316104.

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

10996545738816 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 6 + 545 + 73 + 8 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7927378113600 + 3069167625216 = 2815560^2 + 1751904^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (10996545738811) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 139196781465 + ... + 139196781543.

Almost surely, 2^{10996545738816} is an apocalyptic number.

10996545738816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10996545738816 is the 3316104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10996545738816

10996545738816 is an abundant number, since it is smaller than the sum of its proper divisors (25990348935837).

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

10996545738816 is an frugal number, since it uses more digits than its factorization.

10996545738816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 10996545738816 in words is "ten trillion, nine hundred ninety-six billion, five hundred forty-five million, seven hundred thirty-eight thousand, eight hundred sixteen".