634435035312065 has 48 divisors (see below), whose sum is σ = 828063366177600. Its totient is φ = 466418718395136.

The previous prime is 634435035312031. The next prime is 634435035312077. The reversal of 634435035312065 is 560213530534436.

It is not a de Polignac number, because 634435035312065 - 2⁸ = 634435035311809 is a prime.

It is a super-3 number, since 3×634435035312065³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2279156222 + ... + 2279434568.

It is an arithmetic number, because the mean of its divisors is an integer number (17251320128700).

Almost surely, 2^{634435035312065} is an apocalyptic number.

634435035312065 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

634435035312065 is a deficient number, since it is larger than the sum of its proper divisors (193628330865535).

634435035312065 is a wasteful number, since it uses less digits than its factorization.

634435035312065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290386 (or 290373 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 50.

The spelling of 634435035312065 in words is "six hundred thirty-four trillion, four hundred thirty-five billion, thirty-five million, three hundred twelve thousand, sixty-five".