11164237861296 has 160 divisors (see below), whose sum is σ = 32697171136000. Its totient is φ = 3254056187904.

The previous prime is 11164237861223. The next prime is 11164237861339. The reversal of 11164237861296 is 69216873246111.

It is a super-3 number, since 3×11164237861296³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 153131220 + ... + 153204108.

It is an arithmetic number, because the mean of its divisors is an integer number (204357319600).

Almost surely, 2^{11164237861296} is an apocalyptic number.

11164237861296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11164237861296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16348585568000).

11164237861296 is an abundant number, since it is smaller than the sum of its proper divisors (21532933274704).

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

11164237861296 is a wasteful number, since it uses less digits than its factorization.

11164237861296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85851 (or 85845 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The spelling of 11164237861296 in words is "eleven trillion, one hundred sixty-four billion, two hundred thirty-seven million, eight hundred sixty-one thousand, two hundred ninety-six".