814765106353 has 16 divisors (see below), whose sum is σ = 890451460800. Its totient is φ = 739348908480.

The previous prime is 814765106279. The next prime is 814765106401. The reversal of 814765106353 is 353601567418.

It is a cyclic number.

It is not a de Polignac number, because 814765106353 - 2¹⁷ = 814764975281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 814765106297 and 814765106306.

It is not an unprimeable number, because it can be changed into a prime (814765106053) 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, 27045463 + ... + 27075571.

It is an arithmetic number, because the mean of its divisors is an integer number (55653216300).

Almost surely, 2^814765106353 is an apocalyptic number.

It is an amenable number.

814765106353 is a deficient number, since it is larger than the sum of its proper divisors (75686354447).

814765106353 is a wasteful number, since it uses less digits than its factorization.

814765106353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34512.

The product of its (nonzero) digits is 1814400, while the sum is 49.

The spelling of 814765106353 in words is "eight hundred fourteen billion, seven hundred sixty-five million, one hundred six thousand, three hundred fifty-three".