11616357312 has 336 divisors, whose sum is σ = 41471819520. Its totient is φ = 3122786304.

The previous prime is 11616357287. The next prime is 11616357331. The reversal of 11616357312 is 21375361611.

11616357312 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 635 + 7 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 3494083 + ... + 3497405.

Almost surely, 2^11616357312 is an apocalyptic number.

11616357312 is a gapful number since it is divisible by the number (12) 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 11616357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20735909760).

11616357312 is an abundant number, since it is smaller than the sum of its proper divisors (29855462208).

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

11616357312 is a wasteful number, since it uses less digits than its factorization.

11616357312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3352 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The spelling of 11616357312 in words is "eleven billion, six hundred sixteen million, three hundred fifty-seven thousand, three hundred twelve".