8144772228000 has 576 divisors, whose sum is σ = 30146253096960. Its totient is φ = 2080180224000.

The previous prime is 8144772227981. The next prime is 8144772228023. The reversal of 8144772228000 is 8222774418.

8144772228000 is a `hidden beast` number, since 81 + 4 + 477 + 2 + 22 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108214381 + ... + 108289619.

It is an arithmetic number, because the mean of its divisors is an integer number (52337244960).

Almost surely, 2^{8144772228000} is an apocalyptic number.

8144772228000 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 8144772228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15073126548480).

8144772228000 is an abundant number, since it is smaller than the sum of its proper divisors (22001480868960).

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

8144772228000 is a wasteful number, since it uses less digits than its factorization.

8144772228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75398 (or 75377 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 8144772228000 in words is "eight trillion, one hundred forty-four billion, seven hundred seventy-two million, two hundred twenty-eight thousand".