8011468800 has 234 divisors, whose sum is σ = 28698659262. Its totient is φ = 2136145920.

The previous prime is 8011468799. The next prime is 8011468823. The reversal of 8011468800 is 88641108.

It can be written as a sum of positive squares in 3 ways, for example, as 6230016 + 8005238784 = 2496^2 + 89472^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 917254 + ... + 925946.

It is an arithmetic number, because the mean of its divisors is an integer number (122643843).

Almost surely, 2^8011468800 is an apocalyptic number.

8011468800 is a gapful number since it is divisible by the number (80) 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 8011468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14349329631).

8011468800 is an abundant number, since it is smaller than the sum of its proper divisors (20687190462).

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

8011468800 is a wasteful number, since it uses less digits than its factorization.

8011468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8733 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 8011468800 is about 89506.8086795636. The cubic root of 8011468800 is about 2000.9552769836.

The spelling of 8011468800 in words is "eight billion, eleven million, four hundred sixty-eight thousand, eight hundred".