12345777487296 has 336 divisors, whose sum is σ = 40582160306688. Its totient is φ = 3689892403200.

The previous prime is 12345777487289. The next prime is 12345777487301. The reversal of 12345777487296 is 69278477754321.

12345777487296 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 57 + 7 + 7 + 487 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11993961 + ... + 12982551.

It is an arithmetic number, because the mean of its divisors is an integer number (120780239008).

Almost surely, 2^{12345777487296} is an apocalyptic number.

12345777487296 is a gapful number since it is divisible by the number (16) 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 12345777487296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20291080153344).

12345777487296 is an abundant number, since it is smaller than the sum of its proper divisors (28236382819392).

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

12345777487296 is an equidigital number, since it uses as much as digits as its factorization.

12345777487296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988702 (or 988680 counting only the distinct ones).

The product of its digits is 995742720, while the sum is 72.

The spelling of 12345777487296 in words is "twelve trillion, three hundred forty-five billion, seven hundred seventy-seven million, four hundred eighty-seven thousand, two hundred ninety-six".