438147201579465 has 16 divisors (see below), whose sum is σ = 801183454316928. Its totient is φ = 200295863579136.

The previous prime is 438147201579391. The next prime is 438147201579509. The reversal of 438147201579465 is 564975102741834.

It is a happy number.

It is not a de Polignac number, because 438147201579465 - 2⁹ = 438147201578953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 438147201579396 and 438147201579405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2086415245512 + ... + 2086415245721.

It is an arithmetic number, because the mean of its divisors is an integer number (50073965894808).

It is a 2-persistent number, because it is pandigital, and so is 2⋅438147201579465 = 876294403158930, but 3⋅438147201579465 = 1314441604738395 is not.

Almost surely, 2^{438147201579465} is an apocalyptic number.

It is an amenable number.

438147201579465 is a deficient number, since it is larger than the sum of its proper divisors (363036252737463).

438147201579465 is a wasteful number, since it uses less digits than its factorization.

438147201579465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172830491248.

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 438147201579465 in words is "four hundred thirty-eight trillion, one hundred forty-seven billion, two hundred one million, five hundred seventy-nine thousand, four hundred sixty-five".