11276447616 has 384 divisors, whose sum is σ = 41002653600. Its totient is φ = 3031547904.

The previous prime is 11276447573. The next prime is 11276447671. The reversal of 11276447616 is 61674467211.

11276447616 is a `hidden beast` number, since 1 + 1 + 27 + 6 + 4 + 4 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2876890 + ... + 2880806.

Almost surely, 2^11276447616 is an apocalyptic number.

11276447616 is a gapful number since it is divisible by the number (16) 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 11276447616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20501326800).

11276447616 is an abundant number, since it is smaller than the sum of its proper divisors (29726205984).

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

11276447616 is a wasteful number, since it uses less digits than its factorization.

11276447616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3946 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 11276447616 in words is "eleven billion, two hundred seventy-six million, four hundred forty-seven thousand, six hundred sixteen".