11641715568 has 180 divisors, whose sum is σ = 39895113960. Its totient is φ = 3151104768.

The previous prime is 11641715497. The next prime is 11641715599. The reversal of 11641715568 is 86551714611.

11641715568 is a `hidden beast` number, since 1 + 1 + 64 + 17 + 15 + 568 = 666.

It is a super-3 number, since 3×11641715568³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90646 + ... + 177482.

It is an arithmetic number, because the mean of its divisors is an integer number (221639522).

Almost surely, 2^11641715568 is an apocalyptic number.

11641715568 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 11641715568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19947556980).

11641715568 is an abundant number, since it is smaller than the sum of its proper divisors (28253398392).

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

11641715568 is a wasteful number, since it uses less digits than its factorization.

11641715568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86884 (or 86868 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 11641715568 in words is "eleven billion, six hundred forty-one million, seven hundred fifteen thousand, five hundred sixty-eight".