11014434136638 has 48 divisors (see below), whose sum is σ = 24376188195216. Its totient is φ = 3593541144960.

The previous prime is 11014434136567. The next prime is 11014434136639. The reversal of 11014434136638 is 83663143441011.

11014434136638 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 4 + 4 + 3 + 4 + 1 + 3 + 6 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11014434136593 and 11014434136602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11014434136639) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31821645 + ... + 32165912.

It is an arithmetic number, because the mean of its divisors is an integer number (507837254067).

Almost surely, 2^{11014434136638} is an apocalyptic number.

11014434136638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11014434136638 is an abundant number, since it is smaller than the sum of its proper divisors (13361754058578).

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

11014434136638 is a wasteful number, since it uses less digits than its factorization.

11014434136638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63987769 (or 63987766 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 11014434136638 its reverse (83663143441011), we get a palindrome (94677577577649).

The spelling of 11014434136638 in words is "eleven trillion, fourteen billion, four hundred thirty-four million, one hundred thirty-six thousand, six hundred thirty-eight".