11222146323135 has 480 divisors, whose sum is σ = 24015596774400. Its totient is φ = 4993078464000.

The previous prime is 11222146323121. The next prime is 11222146323139. The reversal of 11222146323135 is 53132364122211.

11222146323135 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 1 + 4 + 632 + 3 + 13 + 5 = 666.

It is not a de Polignac number, because 11222146323135 - 2⁶ = 11222146323071 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11222146323135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222146323139) 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 479 ways as a sum of consecutive naturals, for example, 4419906696 + ... + 4419909234.

It is an arithmetic number, because the mean of its divisors is an integer number (50032493280).

Almost surely, 2^{11222146323135} is an apocalyptic number.

11222146323135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11222146323135 is an abundant number, since it is smaller than the sum of its proper divisors (12793450451265).

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

11222146323135 is a wasteful number, since it uses less digits than its factorization.

11222146323135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2725 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 11222146323135 in words is "eleven trillion, two hundred twenty-two billion, one hundred forty-six million, three hundred twenty-three thousand, one hundred thirty-five".