8118063244800 has 360 divisors, whose sum is σ = 29097477682416. Its totient is φ = 2161451089920.

The previous prime is 8118063244699. The next prime is 8118063244801. The reversal of 8118063244800 is 84423608118.

8118063244800 is a `hidden beast` number, since 8 + 1 + 1 + 8 + 0 + 632 + 4 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8118063244801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74479942 + ... + 74588858.

Almost surely, 2^{8118063244800} is an apocalyptic number.

8118063244800 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 8118063244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14548738841208).

8118063244800 is an abundant number, since it is smaller than the sum of its proper divisors (20979414437616).

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

8118063244800 is a wasteful number, since it uses less digits than its factorization.

8118063244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109598 (or 109574 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 8118063244800 in words is "eight trillion, one hundred eighteen billion, sixty-three million, two hundred forty-four thousand, eight hundred".