11683023072 has 288 divisors, whose sum is σ = 36834739200. Its totient is φ = 3175511040.

The previous prime is 11683023071. The next prime is 11683023161. The reversal of 11683023072 is 27032038611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11683023071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51017454 + ... + 51017682.

It is an arithmetic number, because the mean of its divisors is an integer number (127898400).

Almost surely, 2^11683023072 is an apocalyptic number.

11683023072 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 11683023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18417369600).

11683023072 is an abundant number, since it is smaller than the sum of its proper divisors (25151716128).

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

11683023072 is a wasteful number, since it uses less digits than its factorization.

11683023072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 11683023072 in words is "eleven billion, six hundred eighty-three million, twenty-three thousand, seventy-two".