12277551863808 has 480 divisors, whose sum is σ = 45721139143680. Its totient is φ = 3188971192320.

The previous prime is 12277551863783. The next prime is 12277551863809. The reversal of 12277551863808 is 80836815577221.

12277551863808 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 75 + 5 + 186 + 380 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12277551863809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12292785 + ... + 13253967.

It is an arithmetic number, because the mean of its divisors is an integer number (95252373216).

Almost surely, 2^{12277551863808} is an apocalyptic number.

12277551863808 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 12277551863808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22860569571840).

12277551863808 is an abundant number, since it is smaller than the sum of its proper divisors (33443587279872).

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

12277551863808 is an equidigital number, since it uses as much as digits as its factorization.

12277551863808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961235 (or 961206 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 12277551863808 in words is "twelve trillion, two hundred seventy-seven billion, five hundred fifty-one million, eight hundred sixty-three thousand, eight hundred eight".