11034817495968 has 96 divisors (see below), whose sum is σ = 33108203810304. Its totient is φ = 3152447730432.

The previous prime is 11034817495927. The next prime is 11034817495969. The reversal of 11034817495968 is 86959471843011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11034817495899 and 11034817495908.

It is not an unprimeable number, because it can be changed into a prime (11034817495969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5032671 + ... + 6884577.

It is an arithmetic number, because the mean of its divisors is an integer number (344877123024).

Almost surely, 2^{11034817495968} is an apocalyptic number.

It is an amenable number.

11034817495968 is an abundant number, since it is smaller than the sum of its proper divisors (22073386314336).

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

11034817495968 is a wasteful number, since it uses less digits than its factorization.

11034817495968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860794 (or 1860786 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 66.

The spelling of 11034817495968 in words is "eleven trillion, thirty-four billion, eight hundred seventeen million, four hundred ninety-five thousand, nine hundred sixty-eight".