11607854352768 has 512 divisors, whose sum is σ = 35683855603200. Its totient is φ = 3711772753920.

The previous prime is 11607854352749. The next prime is 11607854352811. The reversal of 11607854352768 is 86725345870611.

It is a happy number.

11607854352768 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 7 + 8 + 5 + 43 + 527 + 68 = 666.

It is a super-3 number, since 3×11607854352768³ (a number of 40 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 63 ways as a sum of consecutive naturals, for example, 9047430655 + ... + 9047431937.

It is an arithmetic number, because the mean of its divisors is an integer number (69695030475).

Almost surely, 2^{11607854352768} is an apocalyptic number.

11607854352768 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 11607854352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17841927801600).

11607854352768 is an abundant number, since it is smaller than the sum of its proper divisors (24076001250432).

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

11607854352768 is a wasteful number, since it uses less digits than its factorization.

11607854352768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 11607854352768 in words is "eleven trillion, six hundred seven billion, eight hundred fifty-four million, three hundred fifty-two thousand, seven hundred sixty-eight".