11815406568 has 192 divisors, whose sum is σ = 37920355200. Its totient is φ = 3253812480.

The previous prime is 11815406549. The next prime is 11815406579. The reversal of 11815406568 is 86560451811.

11815406568 is a `hidden beast` number, since 1 + 1 + 81 + 5 + 4 + 0 + 6 + 568 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142354255 + ... + 142354337.

It is an arithmetic number, because the mean of its divisors is an integer number (197501850).

Almost surely, 2^11815406568 is an apocalyptic number.

11815406568 is a gapful number since it is divisible by the number (18) 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 11815406568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960177600).

11815406568 is an abundant number, since it is smaller than the sum of its proper divisors (26104948632).

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

11815406568 is an frugal number, since it uses more digits than its factorization.

11815406568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 11815406568 in words is "eleven billion, eight hundred fifteen million, four hundred six thousand, five hundred sixty-eight".