11134781111140 has 48 divisors (see below), whose sum is σ = 23568778598400. Its totient is φ = 4418538550272.

The previous prime is 11134781111137. The next prime is 11134781111149. The reversal of 11134781111140 is 4111118743111.

It is a super-5 number, since 5×11134781111140⁵ (a number of 66 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11134781111096 and 11134781111105.

It is not an unprimeable number, because it can be changed into a prime (11134781111149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38792671 + ... + 39078649.

It is an arithmetic number, because the mean of its divisors is an integer number (491016220800).

Almost surely, 2^{11134781111140} is an apocalyptic number.

11134781111140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11134781111140 is an abundant number, since it is smaller than the sum of its proper divisors (12433997487260).

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

11134781111140 is a wasteful number, since it uses less digits than its factorization.

11134781111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301444 (or 301442 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 34.

Adding to 11134781111140 its reverse (4111118743111), we get a palindrome (15245899854251).

The spelling of 11134781111140 in words is "eleven trillion, one hundred thirty-four billion, seven hundred eighty-one million, one hundred eleven thousand, one hundred forty".