11512463616 has 216 divisors, whose sum is σ = 35145190080. Its totient is φ = 3618091008.

The previous prime is 11512463591. The next prime is 11512463621. The reversal of 11512463616 is 61636421511.

11512463616 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 2 + 4 + 636 + 16 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2871085 + ... + 2875091.

Almost surely, 2^11512463616 is an apocalyptic number.

11512463616 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 11512463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17572595040).

11512463616 is an abundant number, since it is smaller than the sum of its proper divisors (23632726464).

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

11512463616 is a wasteful number, since it uses less digits than its factorization.

11512463616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4084 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 11512463616 in words is "eleven billion, five hundred twelve million, four hundred sixty-three thousand, six hundred sixteen".