1056549318912 has 216 divisors, whose sum is σ = 3344951596896. Its totient is φ = 331466121216.

The previous prime is 1056549318911. The next prime is 1056549318917. The reversal of 1056549318912 is 2198139456501.

1056549318912 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 549 + 3 + 1 + 8 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1056549318912² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1056549318911) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 558003 + ... + 1557069.

Almost surely, 2^{1056549318912} is an apocalyptic number.

1056549318912 is a gapful number since it is divisible by the number (12) 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 1056549318912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672475798448).

1056549318912 is an abundant number, since it is smaller than the sum of its proper divisors (2288402277984).

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

1056549318912 is an frugal number, since it uses more digits than its factorization.

1056549318912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999115 (or 999089 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 1056549318912 in words is "one trillion, fifty-six billion, five hundred forty-nine million, three hundred eighteen thousand, nine hundred twelve".