1556449344000 has 800 divisors, whose sum is σ = 5851206565776. Its totient is φ = 411225292800.

The previous prime is 1556449343951. The next prime is 1556449344001. The reversal of 1556449344000 is 4439446551.

1556449344000 is a `hidden beast` number, since 1 + 5 + 564 + 49 + 3 + 4 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7440097536 + 1549009246464 = 86256^2 + 1244592^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-3 number, since 3×1556449344000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1556449344001) 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 79 ways as a sum of consecutive naturals, for example, 585790672 + ... + 585793328.

Almost surely, 2^{1556449344000} is an apocalyptic number.

1556449344000 is a gapful number since it is divisible by the number (10) 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 1556449344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925603282888).

1556449344000 is an abundant number, since it is smaller than the sum of its proper divisors (4294757221776).

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

1556449344000 is an equidigital number, since it uses as much as digits as its factorization.

1556449344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1556449344000 in words is "one trillion, five hundred fifty-six billion, four hundred forty-nine million, three hundred forty-four thousand".