11730306816 has 144 divisors (see below), whose sum is σ = 36729453600. Its totient is φ = 3680059392.

The previous prime is 11730306787. The next prime is 11730306823. The reversal of 11730306816 is 61860303711.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 67590 + ... + 167418.

It is an arithmetic number, because the mean of its divisors is an integer number (255065650).

Almost surely, 2^11730306816 is an apocalyptic number.

11730306816 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 11730306816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18364726800).

11730306816 is an abundant number, since it is smaller than the sum of its proper divisors (24999146784).

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

11730306816 is an equidigital number, since it uses as much as digits as its factorization.

11730306816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99871 (or 99851 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11730306816 in words is "eleven billion, seven hundred thirty million, three hundred six thousand, eight hundred sixteen".