11729816064 has 240 divisors, whose sum is σ = 36328612320. Its totient is φ = 3773952000.

The previous prime is 11729816047. The next prime is 11729816071. The reversal of 11729816064 is 46061892711.

11729816064 is a `hidden beast` number, since 1 + 17 + 29 + 8 + 1 + 606 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3606439 + ... + 3609689.

It is an arithmetic number, because the mean of its divisors is an integer number (151369218).

Almost surely, 2^11729816064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11729816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18164306160).

11729816064 is an abundant number, since it is smaller than the sum of its proper divisors (24598796256).

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

11729816064 is an frugal number, since it uses more digits than its factorization.

11729816064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11729816064 in words is "eleven billion, seven hundred twenty-nine million, eight hundred sixteen thousand, sixty-four".