11135764644102 has 48 divisors (see below), whose sum is σ = 27580380321312. Its totient is φ = 3180942506880.

The previous prime is 11135764644097. The next prime is 11135764644107. The reversal of 11135764644102 is 20144646753111.

11135764644102 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 576 + 4 + 64 + 4 + 10 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11135764644097) and next prime (11135764644107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11135764644107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9213799 + ... + 10352082.

It is an arithmetic number, because the mean of its divisors is an integer number (574591256694).

Almost surely, 2^{11135764644102} is an apocalyptic number.

11135764644102 is an abundant number, since it is smaller than the sum of its proper divisors (16444615677210).

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

11135764644102 is a wasteful number, since it uses less digits than its factorization.

11135764644102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19570413 (or 19570410 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 11135764644102 in words is "eleven trillion, one hundred thirty-five billion, seven hundred sixty-four million, six hundred forty-four thousand, one hundred two".