11628576231468 has 192 divisors, whose sum is σ = 33822901862400. Its totient is φ = 3034033148160.

The previous prime is 11628576231431. The next prime is 11628576231499. The reversal of 11628576231468 is 86413267582611.

11628576231468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 27887433 + ... + 28301343.

It is an arithmetic number, because the mean of its divisors is an integer number (176160947200).

Almost surely, 2^{11628576231468} 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 11628576231468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16911450931200).

11628576231468 is an abundant number, since it is smaller than the sum of its proper divisors (22194325630932).

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

11628576231468 is a wasteful number, since it uses less digits than its factorization.

11628576231468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414580 (or 414578 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 60.

The spelling of 11628576231468 in words is "eleven trillion, six hundred twenty-eight billion, five hundred seventy-six million, two hundred thirty-one thousand, four hundred sixty-eight".