12783356264448 has 1920 divisors, whose sum is σ = 49274186250240. Its totient is φ = 3179953520640.

The previous prime is 12783356264447. The next prime is 12783356264513. The reversal of 12783356264448 is 84446265338721.

12783356264448 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 3 + 3 + 562 + 64 + 4 + 4 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12783356264447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131787177936 + ... + 131787178032.

It is an arithmetic number, because the mean of its divisors is an integer number (25663638672).

Almost surely, 2^{12783356264448} is an apocalyptic number.

12783356264448 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 12783356264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24637093125120).

12783356264448 is an abundant number, since it is smaller than the sum of its proper divisors (36490829985792).

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

12783356264448 is an equidigital number, since it uses as much as digits as its factorization.

12783356264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 246 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 63.

The spelling of 12783356264448 in words is "twelve trillion, seven hundred eighty-three billion, three hundred fifty-six million, two hundred sixty-four thousand, four hundred forty-eight".