11146041126 has 128 divisors (see below), whose sum is σ = 28965496320. Its totient is φ = 3178673280.

The previous prime is 11146041119. The next prime is 11146041169. The reversal of 11146041126 is 62114064111.

11146041126 is a `hidden beast` number, since 11 + 14 + 604 + 11 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11146041126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 811125 + ... + 824751.

It is an arithmetic number, because the mean of its divisors is an integer number (226292940).

Almost surely, 2^11146041126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11146041126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14482748160).

11146041126 is an abundant number, since it is smaller than the sum of its proper divisors (17819455194).

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

11146041126 is a wasteful number, since it uses less digits than its factorization.

11146041126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13678 (or 13660 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11146041126 in words is "eleven billion, one hundred forty-six million, forty-one thousand, one hundred twenty-six".