1318221003456 has 2016 divisors, whose sum is σ = 5252308918272. Its totient is φ = 319261409280.

The previous prime is 1318221003443. The next prime is 1318221003467. The reversal of 1318221003456 is 6543001228131.

1318221003456 is a `hidden beast` number, since 1 + 3 + 182 + 21 + 0 + 0 + 3 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×1318221003456² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1318221003456.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 35627594670 + ... + 35627594706.

Almost surely, 2^{1318221003456} is an apocalyptic number.

1318221003456 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 1318221003456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626154459136).

1318221003456 is an abundant number, since it is smaller than the sum of its proper divisors (3934087914816).

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

1318221003456 is an equidigital number, since it uses as much as digits as its factorization.

1318221003456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1318221003456 in words is "one trillion, three hundred eighteen billion, two hundred twenty-one million, three thousand, four hundred fifty-six".