34800768146055 has 32 divisors (see below), whose sum is σ = 57607196564160. Its totient is φ = 17918552171520.

The previous prime is 34800768146029. The next prime is 34800768146083. The reversal of 34800768146055 is 55064186700843.

It is not a de Polignac number, because 34800768146055 - 2¹⁸ = 34800767883911 is a prime.

It is a super-2 number, since 2×34800768146055² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34800768145986 and 34800768146004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124035 + ... + 8343675.

It is an arithmetic number, because the mean of its divisors is an integer number (1800224892630).

Almost surely, 2^{34800768146055} is an apocalyptic number.

34800768146055 is a deficient number, since it is larger than the sum of its proper divisors (22806428418105).

34800768146055 is a wasteful number, since it uses less digits than its factorization.

34800768146055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229411.

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 34800768146055 in words is "thirty-four trillion, eight hundred billion, seven hundred sixty-eight million, one hundred forty-six thousand, fifty-five".