1134540454311 has 72 divisors (see below), whose sum is σ = 1912255188480. Its totient is φ = 645459471360.

The previous prime is 1134540454273. The next prime is 1134540454331.

1134540454311 is a `hidden beast` number, since 1 + 1 + 34 + 540 + 4 + 54 + 31 + 1 = 666.

1134540454311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1134540454311 - 2⁹ = 1134540453799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134540454331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7010475 + ... + 7170483.

It is an arithmetic number, because the mean of its divisors is an integer number (26559099840).

Almost surely, 2^{1134540454311} is an apocalyptic number.

1134540454311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1134540454311 is a deficient number, since it is larger than the sum of its proper divisors (777714734169).

1134540454311 is a wasteful number, since it uses less digits than its factorization.

1134540454311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160437 (or 160423 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 1134540 and 454311, that added together give a palindrome (1588851).

The spelling of 1134540454311 in words is "one trillion, one hundred thirty-four billion, five hundred forty million, four hundred fifty-four thousand, three hundred eleven".