134411340431511 has 192 divisors, whose sum is σ = 230383428387840. Its totient is φ = 74443691520000.

The previous prime is 134411340431437. The next prime is 134411340431519. The reversal of 134411340431511 is 115134043114431.

134411340431511 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 1 + 134 + 0 + 4 + 3 + 1 + 511 = 666.

It is not a de Polignac number, because 134411340431511 - 2¹⁰ = 134411340430487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134411340431519) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 141933833140 + ... + 141933834086.

It is an arithmetic number, because the mean of its divisors is an integer number (1199913689520).

Almost surely, 2^{134411340431511} is an apocalyptic number.

134411340431511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134411340431511 is a deficient number, since it is larger than the sum of its proper divisors (95972087956329).

134411340431511 is a wasteful number, since it uses less digits than its factorization.

134411340431511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 134411340431511 its reverse (115134043114431), we get a palindrome (249545383545942).

The spelling of 134411340431511 in words is "one hundred thirty-four trillion, four hundred eleven billion, three hundred forty million, four hundred thirty-one thousand, five hundred eleven".