2263645323013 has 16 divisors (see below), whose sum is σ = 2394042315840. Its totient is φ = 2134386720000.

The previous prime is 2263645322947. The next prime is 2263645323047. The reversal of 2263645323013 is 3103235463622.

2263645323013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2263645323013 - 2³⁷ = 2126206369541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263645323053) 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, 6316231 + ... + 6664987.

It is an arithmetic number, because the mean of its divisors is an integer number (149627644740).

Almost surely, 2^{2263645323013} is an apocalyptic number.

It is an amenable number.

2263645323013 is a deficient number, since it is larger than the sum of its proper divisors (130396992827).

2263645323013 is a wasteful number, since it uses less digits than its factorization.

2263645323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350388.

The product of its (nonzero) digits is 466560, while the sum is 40.

The spelling of 2263645323013 in words is "two trillion, two hundred sixty-three billion, six hundred forty-five million, three hundred twenty-three thousand, thirteen".