11271949416 has 768 divisors, whose sum is σ = 42747264000. Its totient is φ = 2717245440.

The previous prime is 11271949393. The next prime is 11271949427. The reversal of 11271949416 is 61494917211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142682865 + ... + 142682943.

It is an arithmetic number, because the mean of its divisors is an integer number (55660500).

Almost surely, 2^11271949416 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 11271949416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632000).

11271949416 is an abundant number, since it is smaller than the sum of its proper divisors (31475314584).

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

11271949416 is a wasteful number, since it uses less digits than its factorization.

11271949416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 11271949416 in words is "eleven billion, two hundred seventy-one million, nine hundred forty-nine thousand, four hundred sixteen".