1137434347311 has 32 divisors (see below), whose sum is σ = 1629839232000. Its totient is φ = 703066636800.

The previous prime is 1137434347297. The next prime is 1137434347337.

1137434347311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1137434347311 - 2¹¹ = 1137434345263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137434347351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470230 + ... + 1579868.

It is an arithmetic number, because the mean of its divisors is an integer number (50932476000).

Almost surely, 2^{1137434347311} is an apocalyptic number.

1137434347311 is a deficient number, since it is larger than the sum of its proper divisors (492404884689).

1137434347311 is a wasteful number, since it uses less digits than its factorization.

1137434347311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109959.

The product of its digits is 254016, while the sum is 42.

The spelling of 1137434347311 in words is "one trillion, one hundred thirty-seven billion, four hundred thirty-four million, three hundred forty-seven thousand, three hundred eleven".