11144265475320 has 256 divisors, whose sum is σ = 39353778460800. Its totient is φ = 2795493335040.

The previous prime is 11144265475313. The next prime is 11144265475327. The reversal of 11144265475320 is 2357456244111.

It is a happy number.

11144265475320 is a `hidden beast` number, since 1 + 1 + 1 + 44 + 26 + 54 + 7 + 532 + 0 = 666.

11144265475320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11144265475313) and next prime (11144265475327).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144265475327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34300030 + ... + 34623410.

Almost surely, 2^{11144265475320} is an apocalyptic number.

11144265475320 is a gapful number since it is divisible by the number (10) 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 11144265475320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676889230400).

11144265475320 is an abundant number, since it is smaller than the sum of its proper divisors (28209512985480).

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

11144265475320 is a wasteful number, since it uses less digits than its factorization.

11144265475320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325295 (or 325285 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 11144265475320 in words is "eleven trillion, one hundred forty-four billion, two hundred sixty-five million, four hundred seventy-five thousand, three hundred twenty".