1163126506311 has 288 divisors, whose sum is σ = 2286156096000. Its totient is φ = 579366043200.

The previous prime is 1163126506271. The next prime is 1163126506357. The reversal of 1163126506311 is 1136056213611.

1163126506311 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 12 + 6 + 5 + 0 + 631 + 1 = 666.

It is not a de Polignac number, because 1163126506311 - 2³³ = 1154536571719 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1163126506411) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10670885325 + ... + 10670885433.

It is an arithmetic number, because the mean of its divisors is an integer number (7938042000).

Almost surely, 2^{1163126506311} is an apocalyptic number.

1163126506311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1163126506311 is a deficient number, since it is larger than the sum of its proper divisors (1123029589689).

1163126506311 is an equidigital number, since it uses as much as digits as its factorization.

1163126506311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1163126506311 in words is "one trillion, one hundred sixty-three billion, one hundred twenty-six million, five hundred six thousand, three hundred eleven".