35364351105055 has 16 divisors (see below), whose sum is σ = 49627581087744. Its totient is φ = 23685890971680.

The previous prime is 35364351105029. The next prime is 35364351105073. The reversal of 35364351105055 is 55050115346353.

35364351105055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 35364351105055 - 2⁹ = 35364351104543 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35364351104996 and 35364351105014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11748952351 + ... + 11748955360.

It is an arithmetic number, because the mean of its divisors is an integer number (3101723817984).

Almost surely, 2^{35364351105055} is an apocalyptic number.

35364351105055 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

35364351105055 is a deficient number, since it is larger than the sum of its proper divisors (14263229982689).

35364351105055 is a wasteful number, since it uses less digits than its factorization.

35364351105055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23497907766.

The product of its (nonzero) digits is 2025000, while the sum is 46.

The spelling of 35364351105055 in words is "thirty-five trillion, three hundred sixty-four billion, three hundred fifty-one million, one hundred five thousand, fifty-five".