11144261014264 has 64 divisors (see below), whose sum is σ = 24011250128640. Its totient is φ = 4749988055040.

The previous prime is 11144261014261. The next prime is 11144261014301. The reversal of 11144261014264 is 46241016244111.

It is a super-2 number, since 2×11144261014264² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144261014261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37583047 + ... + 37878409.

It is an arithmetic number, because the mean of its divisors is an integer number (375175783260).

Almost surely, 2^{11144261014264} is an apocalyptic number.

11144261014264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11144261014264 is an abundant number, since it is smaller than the sum of its proper divisors (12866989114376).

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

11144261014264 is a wasteful number, since it uses less digits than its factorization.

11144261014264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299060 (or 299056 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

Adding to 11144261014264 its reverse (46241016244111), we get a palindrome (57385277258375).

The spelling of 11144261014264 in words is "eleven trillion, one hundred forty-four billion, two hundred sixty-one million, fourteen thousand, two hundred sixty-four".