11643253516305 has 64 divisors (see below), whose sum is σ = 21919768058880. Its totient is φ = 5843641853952.

The previous prime is 11643253516267. The next prime is 11643253516309. The reversal of 11643253516305 is 50361535234611.

11643253516305 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 3 + 2 + 5 + 3 + 5 + 1 + 630 + 5 = 666.

It is not a de Polignac number, because 11643253516305 - 2⁸ = 11643253516049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11643253516309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16281837 + ... + 16981893.

It is an arithmetic number, because the mean of its divisors is an integer number (342496375920).

Almost surely, 2^{11643253516305} is an apocalyptic number.

11643253516305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11643253516305 is a deficient number, since it is larger than the sum of its proper divisors (10276514542575).

11643253516305 is a wasteful number, since it uses less digits than its factorization.

11643253516305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707335 (or 707329 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 11643253516305 in words is "eleven trillion, six hundred forty-three billion, two hundred fifty-three million, five hundred sixteen thousand, three hundred five".