11146522401135 has 96 divisors (see below), whose sum is σ = 22598255635200. Its totient is φ = 5169401328960.

The previous prime is 11146522401103. The next prime is 11146522401137. The reversal of 11146522401135 is 53110422564111.

11146522401135 is a `hidden beast` number, since 1 + 1 + 1 + 465 + 22 + 40 + 1 + 135 = 666.

It is not a de Polignac number, because 11146522401135 - 2⁵ = 11146522401103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11146522401135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11146522401137) 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 95 ways as a sum of consecutive naturals, for example, 6309025 + ... + 7880154.

It is an arithmetic number, because the mean of its divisors is an integer number (235398496200).

Almost surely, 2^{11146522401135} is an apocalyptic number.

11146522401135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11146522401135 is an abundant number, since it is smaller than the sum of its proper divisors (11451733234065).

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

11146522401135 is a wasteful number, since it uses less digits than its factorization.

11146522401135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14189250 (or 14189221 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 11146522401135 its reverse (53110422564111), we get a palindrome (64256944965246).

The spelling of 11146522401135 in words is "eleven trillion, one hundred forty-six billion, five hundred twenty-two million, four hundred one thousand, one hundred thirty-five".