11131730065764 has 672 divisors, whose sum is σ = 37324618813440. Its totient is φ = 2819991283200.

The previous prime is 11131730065741. The next prime is 11131730065829. The reversal of 11131730065764 is 46756003713111.

11131730065764 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 73 + 0 + 0 + 6 + 576 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1472252544 + ... + 1472260104.

It is an arithmetic number, because the mean of its divisors is an integer number (55542587520).

Almost surely, 2^{11131730065764} is an apocalyptic number.

11131730065764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131730065764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662309406720).

11131730065764 is an abundant number, since it is smaller than the sum of its proper divisors (26192888747676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131730065764 is a wasteful number, since it uses less digits than its factorization.

11131730065764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7763 (or 7746 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

Adding to 11131730065764 its reverse (46756003713111), we get a palindrome (57887733778875).

The spelling of 11131730065764 in words is "eleven trillion, one hundred thirty-one billion, seven hundred thirty million, sixty-five thousand, seven hundred sixty-four".