10865743148448 has 96 divisors (see below), whose sum is σ = 32092912454400. Its totient is φ = 3576067342848.

The previous prime is 10865743148347. The next prime is 10865743148471. The reversal of 10865743148448 is 84484134756801.

10865743148448 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 5 + 7 + 43 + 148 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 79527261 + ... + 79663772.

It is an arithmetic number, because the mean of its divisors is an integer number (334301171400).

Almost surely, 2^{10865743148448} is an apocalyptic number.

10865743148448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10865743148448 is an abundant number, since it is smaller than the sum of its proper divisors (21227169305952).

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

10865743148448 is a wasteful number, since it uses less digits than its factorization.

10865743148448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159191131 (or 159191117 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 10865743148448 in words is "ten trillion, eight hundred sixty-five billion, seven hundred forty-three million, one hundred forty-eight thousand, four hundred forty-eight".