10005454034311 has 16 divisors (see below), whose sum is σ = 10433979169600. Its totient is φ = 9586259020800.

The previous prime is 10005454034269. The next prime is 10005454034327. The reversal of 10005454034311 is 11343045450001.

It is a cyclic number.

It is not a de Polignac number, because 10005454034311 - 2⁷ = 10005454034183 is a prime.

It is a super-2 number, since 2×10005454034311² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005458034311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6290340 + ... + 7718761.

It is an arithmetic number, because the mean of its divisors is an integer number (652123698100).

Almost surely, 2^{10005454034311} is an apocalyptic number.

10005454034311 is a deficient number, since it is larger than the sum of its proper divisors (428525135289).

10005454034311 is a wasteful number, since it uses less digits than its factorization.

10005454034311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14009434.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 10005454034311 its reverse (11343045450001), we get a palindrome (21348499484312).

The spelling of 10005454034311 in words is "ten trillion, five billion, four hundred fifty-four million, thirty-four thousand, three hundred eleven".