1134659564311 has 60 divisors (see below), whose sum is σ = 1439722627080. Its totient is φ = 893759106240.

The previous prime is 1134659564309. The next prime is 1134659564329.

1134659564311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1134659564311 - 2¹ = 1134659564309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134659564371) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 92914996 + ... + 92927206.

It is an arithmetic number, because the mean of its divisors is an integer number (23995377118).

Almost surely, 2^{1134659564311} is an apocalyptic number.

1134659564311 is a deficient number, since it is larger than the sum of its proper divisors (305063062769).

1134659564311 is an equidigital number, since it uses as much as digits as its factorization.

1134659564311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12494 (or 12460 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 49.

The spelling of 1134659564311 in words is "one trillion, one hundred thirty-four billion, six hundred fifty-nine million, five hundred sixty-four thousand, three hundred eleven".