11411622144 has 432 divisors, whose sum is σ = 37373411712. Its totient is φ = 3451797504.

The previous prime is 11411622107. The next prime is 11411622149. The reversal of 11411622144 is 44122611411.

It is a happy number.

11411622144 is a `hidden beast` number, since 1 + 14 + 11 + 622 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411622149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83296444 + ... + 83296580.

Almost surely, 2^11411622144 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 11411622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686705856).

11411622144 is an abundant number, since it is smaller than the sum of its proper divisors (25961789568).

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

11411622144 is a wasteful number, since it uses less digits than its factorization.

11411622144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The spelling of 11411622144 in words is "eleven billion, four hundred eleven million, six hundred twenty-two thousand, one hundred forty-four".