1363644224928 has 120 divisors (see below), whose sum is σ = 4015477789092. Its totient is φ = 453977063424.

The previous prime is 1363644224909. The next prime is 1363644224953. The reversal of 1363644224928 is 8294224463631.

1363644224928 is a `hidden beast` number, since 1 + 36 + 364 + 4 + 2 + 249 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1300448298384 + 63195926544 = 1140372^2 + 251388^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1735776 + ... + 2395872.

Almost surely, 2^{1363644224928} is an apocalyptic number.

1363644224928 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 1363644224928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007738894546).

1363644224928 is an abundant number, since it is smaller than the sum of its proper divisors (2651833564164).

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

1363644224928 is an equidigital number, since it uses as much as digits as its factorization.

1363644224928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660916 (or 660899 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 1363644224928 in words is "one trillion, three hundred sixty-three billion, six hundred forty-four million, two hundred twenty-four thousand, nine hundred twenty-eight".