11287017144 has 128 divisors (see below), whose sum is σ = 34075272000. Its totient is φ = 3440973312.

The previous prime is 11287017139. The next prime is 11287017149. The reversal of 11287017144 is 44171078211.

It is an interprime number because it is at equal distance from previous prime (11287017139) and next prime (11287017149).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11287017099 and 11287017108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11287017149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287634 + ... + 324510.

Almost surely, 2^11287017144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11287017144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17037636000).

11287017144 is an abundant number, since it is smaller than the sum of its proper divisors (22788254856).

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

11287017144 is a wasteful number, since it uses less digits than its factorization.

11287017144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37014 (or 37004 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 11287017144 in words is "eleven billion, two hundred eighty-seven million, seventeen thousand, one hundred forty-four".