10946092846144 has 63 divisors (see below), whose sum is σ = 21814462949727. Its totient is φ = 5449635561984.

The previous prime is 10946092846103. The next prime is 10946092846151. The reversal of 10946092846144 is 44164829064901.

It is a happy number.

The square root of 10946092846144 is 3308488.

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

10946092846144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 44473748544 + 10901619097600 = 210888^2 + 3301760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7331608662 + ... + 7331610154.

Almost surely, 2^{10946092846144} is an apocalyptic number.

10946092846144 is the 3308488-th square number.

It is an amenable number.

10946092846144 is a deficient number, since it is larger than the sum of its proper divisors (10868370103583).

10946092846144 is an frugal number, since it uses more digits than its factorization.

10946092846144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 10946092846144 in words is "ten trillion, nine hundred forty-six billion, ninety-two million, eight hundred forty-six thousand, one hundred forty-four".