10364354000011 has 64 divisors (see below), whose sum is σ = 12090944618496. Its totient is φ = 8790218236800.

The previous prime is 10364354000009. The next prime is 10364354000027. The reversal of 10364354000011 is 11000045346301.

10364354000011 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 10364354000011 - 2¹ = 10364354000009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10364354000711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6393801781 + ... + 6393803401.

It is an arithmetic number, because the mean of its divisors is an integer number (188921009664).

Almost surely, 2^{10364354000011} is an apocalyptic number.

10364354000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10364354000011 is a deficient number, since it is larger than the sum of its proper divisors (1726590618485).

10364354000011 is a wasteful number, since it uses less digits than its factorization.

10364354000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232.

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 10364354000011 its reverse (11000045346301), we get a palindrome (21364399346312).

The spelling of 10364354000011 in words is "ten trillion, three hundred sixty-four billion, three hundred fifty-four million, eleven", and thus it is an aban number.