11436761111034 has 128 divisors (see below), whose sum is σ = 26551512594432. Its totient is φ = 3216730890240.

The previous prime is 11436761111021. The next prime is 11436761111051. The reversal of 11436761111034 is 43011116763411.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11436761110983 and 11436761111001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2120665042 + ... + 2120670434.

It is an arithmetic number, because the mean of its divisors is an integer number (207433692144).

Almost surely, 2^{11436761111034} is an apocalyptic number.

11436761111034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11436761111034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275756297216).

11436761111034 is an abundant number, since it is smaller than the sum of its proper divisors (15114751483398).

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

11436761111034 is a wasteful number, since it uses less digits than its factorization.

11436761111034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8180.

The product of its (nonzero) digits is 36288, while the sum is 39.

Adding to 11436761111034 its reverse (43011116763411), we get a palindrome (54447877874445).

The spelling of 11436761111034 in words is "eleven trillion, four hundred thirty-six billion, seven hundred sixty-one million, one hundred eleven thousand, thirty-four".